RATIO AND PROPORTION A RATIO IS A COMPARISON
![RATIO AND PROPORTION RATIO AND PROPORTION](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-1.jpg)
![A RATIO IS A COMPARISON OF TWO OR MORE NUMBERS There are several ways A RATIO IS A COMPARISON OF TWO OR MORE NUMBERS There are several ways](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-2.jpg)
![RATIO AS A COMPARISON OF TWO NUMBERS Lets see where we have used ratio RATIO AS A COMPARISON OF TWO NUMBERS Lets see where we have used ratio](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-3.jpg)
![WELCOME TO BOBO’S NIGHT SCHOOL There are 8 boys and 4 girls in Bobo’s WELCOME TO BOBO’S NIGHT SCHOOL There are 8 boys and 4 girls in Bobo’s](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-4.jpg)
![WELCOME TO BOBO’S NIGHT SCHOOL There are 8 boys and 4 girls in Bobo’s WELCOME TO BOBO’S NIGHT SCHOOL There are 8 boys and 4 girls in Bobo’s](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-5.jpg)
![A PROPORTION IS A STATEMENT THAT TWO RATIOS ARE EQUAL. A proportion is an A PROPORTION IS A STATEMENT THAT TWO RATIOS ARE EQUAL. A proportion is an](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-6.jpg)
![A PROPORTION IS A STATEMENT THAT TWO RATIOS ARE EQUAL. A proportion is an A PROPORTION IS A STATEMENT THAT TWO RATIOS ARE EQUAL. A proportion is an](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-7.jpg)
![PROPORTIONS • Another way to check if proportions are equal is to cross multiply. PROPORTIONS • Another way to check if proportions are equal is to cross multiply.](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-8.jpg)
![SOLVING PROPORTION PROBLEMS • When one of the four numbers in a proportion is SOLVING PROPORTION PROBLEMS • When one of the four numbers in a proportion is](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-9.jpg)
![SOLVING PROPORTION PROBLEMS • When one of the four numbers in a proportion is SOLVING PROPORTION PROBLEMS • When one of the four numbers in a proportion is](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-10.jpg)
![RATIOS & PROPORTIONS Solve the proportion: Cross multiply Simplify Solution for unknown RATIOS & PROPORTIONS Solve the proportion: Cross multiply Simplify Solution for unknown](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-11.jpg)
![RATIOS & PROPORTIONS Solve the following proportions for x. RATIOS & PROPORTIONS Solve the following proportions for x.](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-12.jpg)
![RATIOS & PROPORTIONS Solve the following proportions for x. RATIOS & PROPORTIONS Solve the following proportions for x.](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-13.jpg)
![RATIOS & PROPORTIONS Solve the following proportions for x. RATIOS & PROPORTIONS Solve the following proportions for x.](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-14.jpg)
![SCALE MEASUREMENT USING PROPORTIONS 1 cm = 5 m is a scale for a SCALE MEASUREMENT USING PROPORTIONS 1 cm = 5 m is a scale for a](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-15.jpg)
![SCALE MEASUREMENT USING PROPORTIONS A ratio of half bag of cement to 3 buckets SCALE MEASUREMENT USING PROPORTIONS A ratio of half bag of cement to 3 buckets](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-16.jpg)
![SCALE MEASUREMENT USING PROPORTIONS A ratio of half bag of cement to 3 buckets SCALE MEASUREMENT USING PROPORTIONS A ratio of half bag of cement to 3 buckets](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-17.jpg)
- Slides: 17
![RATIO AND PROPORTION RATIO AND PROPORTION](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-1.jpg)
RATIO AND PROPORTION
![A RATIO IS A COMPARISON OF TWO OR MORE NUMBERS There are several ways A RATIO IS A COMPARISON OF TWO OR MORE NUMBERS There are several ways](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-2.jpg)
A RATIO IS A COMPARISON OF TWO OR MORE NUMBERS There are several ways in which ratios may be written. Ratios may be written using • A colon : Example: 3: 6 – the is read as “ the ratios 3 to 6” • A fraction bar / Example: 3/6 – the is read as “ the ratios 3 to 6” • In words Example: 3 to 6
![RATIO AS A COMPARISON OF TWO NUMBERS Lets see where we have used ratio RATIO AS A COMPARISON OF TWO NUMBERS Lets see where we have used ratio](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-3.jpg)
RATIO AS A COMPARISON OF TWO NUMBERS Lets see where we have used ratio before Paul made 3 tables in 6 days. The ration of tables made compared to days taken is 3 to 6
![WELCOME TO BOBOS NIGHT SCHOOL There are 8 boys and 4 girls in Bobos WELCOME TO BOBO’S NIGHT SCHOOL There are 8 boys and 4 girls in Bobo’s](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-4.jpg)
WELCOME TO BOBO’S NIGHT SCHOOL There are 8 boys and 4 girls in Bobo’s Night School. Total Number of individuals at Bobo’s Night School is? 1. What is the ratio of girls to boys using a fraction? 2. What is the ratio of girls to children in Bobo’s Night School (use a colon)? 3. What is the ratio of boys to children in Grant School (use words)?
![WELCOME TO BOBOS NIGHT SCHOOL There are 8 boys and 4 girls in Bobos WELCOME TO BOBO’S NIGHT SCHOOL There are 8 boys and 4 girls in Bobo’s](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-5.jpg)
WELCOME TO BOBO’S NIGHT SCHOOL There are 8 boys and 4 girls in Bobo’s Night School. Total Number of individuals at Bobo’s Night School is 12 1. What is the ratio of girls to boys using a fraction? 2. What is the ratio of girls to children in Bobo’s Night School (use a colon)? 3. What is the ratio of boys to children in Grant School (use words)? 4: 12 4 to 12
![A PROPORTION IS A STATEMENT THAT TWO RATIOS ARE EQUAL A proportion is an A PROPORTION IS A STATEMENT THAT TWO RATIOS ARE EQUAL. A proportion is an](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-6.jpg)
A PROPORTION IS A STATEMENT THAT TWO RATIOS ARE EQUAL. A proportion is an equation with a ratio on each side. 3/4 = 6/8 is an example of a proportion. The two statements are equal because if you simplify 6/8 we get 3/4, therefore both are equal.
![A PROPORTION IS A STATEMENT THAT TWO RATIOS ARE EQUAL A proportion is an A PROPORTION IS A STATEMENT THAT TWO RATIOS ARE EQUAL. A proportion is an](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-7.jpg)
A PROPORTION IS A STATEMENT THAT TWO RATIOS ARE EQUAL. A proportion is an equation with a ratio on each side. 1 3 = 4 12 is an example of a proportion. 3 1 The two statements are equal because if you simplify, we get 4 12 both are equal. , therefore
![PROPORTIONS Another way to check if proportions are equal is to cross multiply PROPORTIONS • Another way to check if proportions are equal is to cross multiply.](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-8.jpg)
PROPORTIONS • Another way to check if proportions are equal is to cross multiply. Cross Multiply Both sides are equal therefor we say they are proportional proportion.
![SOLVING PROPORTION PROBLEMS When one of the four numbers in a proportion is SOLVING PROPORTION PROBLEMS • When one of the four numbers in a proportion is](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-9.jpg)
SOLVING PROPORTION PROBLEMS • When one of the four numbers in a proportion is unknown we can use the method of cross multiplication to solve for this unknown. This is called solving the proportion. • Letters are frequently used in place of the unknown number. (X)
![SOLVING PROPORTION PROBLEMS When one of the four numbers in a proportion is SOLVING PROPORTION PROBLEMS • When one of the four numbers in a proportion is](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-10.jpg)
SOLVING PROPORTION PROBLEMS • When one of the four numbers in a proportion is unknown we can use the method of cross multiplication to solve for this unknown. This is called solving the proportion. • Letters are frequently used in place of the unknown number. (X)
![RATIOS PROPORTIONS Solve the proportion Cross multiply Simplify Solution for unknown RATIOS & PROPORTIONS Solve the proportion: Cross multiply Simplify Solution for unknown](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-11.jpg)
RATIOS & PROPORTIONS Solve the proportion: Cross multiply Simplify Solution for unknown
![RATIOS PROPORTIONS Solve the following proportions for x RATIOS & PROPORTIONS Solve the following proportions for x.](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-12.jpg)
RATIOS & PROPORTIONS Solve the following proportions for x.
![RATIOS PROPORTIONS Solve the following proportions for x RATIOS & PROPORTIONS Solve the following proportions for x.](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-13.jpg)
RATIOS & PROPORTIONS Solve the following proportions for x.
![RATIOS PROPORTIONS Solve the following proportions for x RATIOS & PROPORTIONS Solve the following proportions for x.](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-14.jpg)
RATIOS & PROPORTIONS Solve the following proportions for x.
![SCALE MEASUREMENT USING PROPORTIONS 1 cm 5 m is a scale for a SCALE MEASUREMENT USING PROPORTIONS 1 cm = 5 m is a scale for a](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-15.jpg)
SCALE MEASUREMENT USING PROPORTIONS 1 cm = 5 m is a scale for a house plan. The actual length a wall is 70 m. What is the scale length of the wall? Cross multiply. Simplify Scale length of wall
![SCALE MEASUREMENT USING PROPORTIONS A ratio of half bag of cement to 3 buckets SCALE MEASUREMENT USING PROPORTIONS A ratio of half bag of cement to 3 buckets](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-16.jpg)
SCALE MEASUREMENT USING PROPORTIONS A ratio of half bag of cement to 3 buckets of sand is used by a mason to render a wall. If he has 10 buckets of sand how much cement will he need? Cross multiply. Simplify Solution
![SCALE MEASUREMENT USING PROPORTIONS A ratio of half bag of cement to 3 buckets SCALE MEASUREMENT USING PROPORTIONS A ratio of half bag of cement to 3 buckets](https://slidetodoc.com/presentation_image_h2/5de5196b3c984114b2aebd3cdabe65f0/image-17.jpg)
SCALE MEASUREMENT USING PROPORTIONS A ratio of half bag of cement to 3 buckets of sand is used by a mason to render a wall. If he has 10 buckets of sand how much cement will he need? Cross multiply. Simplify Solution
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