3 1 Fractions Numerator Fraction Line Denominator SET
- Slides: 22
3 - 1 Fractions ﺍﻟﻜﺴـﻮﺭ • Numerator Fraction Line Denominator SET 1 - Chapter 3 2 GFP - Sohar University
• Below is a number of examples on fractions: SET 1 - Chapter 3 = = = = = 3 GFP - Sohar University
3 - 2 Proper and Improper Fractions ﺍﻟﻜﺴـﻮﺭ ﺍﻟﻤﻨﺎﺳﺒﺔ ﻭ ﻏﻴﺮ ﺍﻟﻤﻨﺎﺳﺒﺔ • A proper fraction is a fraction where the numerator is less than denominator, such as: • An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as: SET 1 - Chapter 3 4 GFP - Sohar University
3 - 3 Mixed Numbers ﺍﻷﻌﺪﺍﺩ ﺍﻟﻤﺨﺘﻠﻄﺔ • An improper fraction can also be written as a mixed number. • A mixed number is a number that contains both a whole number and a proper fraction. = = SET 1 - Chapter 3 5 GFP - Sohar University
Example 1: Solution: SET 1 - Chapter 3 6 GFP - Sohar University
Example 2: Solution: Example 3: Solution: SET 1 - Chapter 3 7 GFP - Sohar University
3 - 4 Decimals ﺍﻟﻜﺴـﻮﺭ ﺍﻟﻌﺸـﺮﻳﺔ • A decimal is a fraction that has a denominator of a power of ten. • A point or dot is used to separate the whole number part from the fractional part of a number. • For example, in the number 17. 591, the decimal point separate 17 (the whole number part) from 591 (the fractional part). SET 1 - Chapter 3 8 GFP - Sohar University
Example 4: Solution: 32. 65 18. 431 + 24. 176 75. 257 So, 32. 65 + 18. 431 + 24. 176 = 75. 257 37. 218 ‒ 53. 64 318. 54 ‒ 117. 25 201. 29 Thus, 37. 218 ‒ 53. 64 ‒ 117. 25 = 201. 29 SET 1 - Chapter 3 9 GFP - Sohar University
Example 5: Solution: rounded to 4 decimal places SET 1 - Chapter 3 10 GFP - Sohar University
Example 6: Solution: rounded to 3 significant places SET 1 - Chapter 3 11 GFP - Sohar University
Example 7: Evaluate (a) 2. 134 × 5. 16 (c) 18. 142 × 100 (b) 18. 142 × 10 (d) 18. 142 × 1000 Solution: (b) 18. 142 × 10 = 181. 42 (c) 18. 142 × 100 = 1814. 2 (c) 18. 142 × 1000 = 18142 SET 1 - Chapter 3 12 GFP - Sohar University
Example 8: Evaluate: (a) 5284. 32 ÷ 10 (c) 5284. 32 ÷ 1000 (b) 5284. 32 ÷ 100 Solution: (a) 5284. 32 ÷ 10 = 528. 432 (b) 5284. 32 ÷ 100 = 52. 8432 (c) 5284. 32 ÷ 1000 = 5. 28432 SET 1 - Chapter 3 13 GFP - Sohar University
3 - 5 Ratios ﺍﻟﻨـﺴـﺐ • there are 5 circles and 6 squares. SET 1 - Chapter 3 14 GFP - Sohar University
Example 9: A classroom contains 32 tables and 28 chairs. Find the ratio of tables to chairs and write it in the simplest form. Solution: Ratio Thus, tables to chairs ratio or 8: 7 or 8 to 7 Example 10: The number of students in a Mathematic class is 45. What is the boys to girls ratio if there are 15 boys in that class, expressed in the simplest form? Solution: Number of girls in the class = 45 ‒ 15 = 30 Boys to girls ratio SET 1 - Chapter 3 or 1 to 2 15 GFP - Sohar University
Example 11: Flavours, sugar and milk are used in an ice-cream recipe in the ratio of 2 to 3 to 10 respectively. How much flavours, sugar and milk should be used to produce 60 kg of this type of ice-cream? Solution: Total number of parts = 2 + 3 + 10 = 15 1 part of the 60 kg 2 parts = 2 × 4 = 8 kg 3 parts = 3 × 4 = 12 kg 10 parts = 10 × 4 = 40 kg So, 8 kg of flavours, 12 kg of sugar, and 40 kg of milk should be used to produce 60 kg of this type of ice-cream. (check: 8 + 12 + 40 = 60) SET 1 - Chapter 3 16 GFP - Sohar University
3 - 6 Percentages • ﺍﻟﻨـﺴـﺐ ﺍﻟﻤﺌﻮﻳﺔ Percentage is a ratio with a base of 100. • Below are two examples on percentages: 25% of the squares are green 75% of the squares are white SET 1 - Chapter 3 50% of the squares are green 50% of the squares are white 17 GFP - Sohar University
Example 12: Express the following as percentages: (a) 0. 32 (c) 9. 0582 (d) (e) (b) 2. 51 (f) Solution: SET 1 - Chapter 3 18 GFP - Sohar University
Example 13: Express the following as decimal fractions: (a) 25% (b) 40% (c) 81. 3% (d) 3. 75% Solution: SET 1 - Chapter 3 19 GFP - Sohar University
Example 14: Express the following as proper fractions: (a) 30% (b) 42% (c) 21. 5% Solution: SET 1 - Chapter 3 20 GFP - Sohar University
Example 15: Express the following as mixed numbers: (a) 340% (b) 225% Solution: Example 16: Evaluate 12. 7% of 257 Solution: SET 1 - Chapter 3 21 GFP - Sohar University
Example 17: A notebook has 250 pages out of which 172 pages were used. What is the percentage of unused pages? Solution: Example 18: In the first semester, 350 students registered an English course and 40% of them were boys. Calculate the number of girls who registered this course. Solution: SET 1 - Chapter 3 22 GFP - Sohar University
- Similar fraction meaning
- Numerator and denominator
- Whole number denominator
- Are negative decimals rational numbers
- Numerator denominator
- Numerator layout vs denominator layout
- Dividend numerator
- Numerator
- A percent is a fraction whose denominator is 100
- How to simplify complex fraction
- Converting between percents decimals and fractions
- Lcm of 3 and 4 and 5
- Common denominator algorithm dividing fractions
- Total set awareness set consideration set
- Training set validation set test set
- How to find a fraction
- Isa isahin ang ray na makikita sa figure
- 1 4/7 as an improper fraction
- Like fractions
- Fraction wall equivalent fractions
- Equivalent fractions to 4/5
- 66454 subject code
- Numerator