Math Strategies Fractions Decimals and Percents Fraction Decimal

Fraction = Decimal = Percent • Fractions, decimals, and percents are part of one

$Fraction Addition • To add fractions, the fractions must have a common denominator. Example:$

Subtract Fractions • Fractions must have a common denominator to subtract them.

$Mixed Numbers • A mixed number is a whole number and a fraction together.$

Multiplying Fractions • Multiply the top numbers and the bottom numbers straight across.

$Dividing Fractions • We cannot divide fractions. We must invert the fraction after the$

Percents • It is best to change a percent into either a decimal or

Practice • What is 35% of $9, 000? • Marta paid $34 for shoes.

Adding Decimals • Use columns and Line up the Decimals

Practice • How many miles did Sonia drive her car if she drove 14

Subtracting Decimals • Use columns and Line up the Decimals

Practice • If the perimeter of a triangular plot of ground is 34. 671

Multiplying Decimals • When multiplying numbers with decimals, multiply the numbers in the standard

Practice • Mr. Bates bought a steak weighing 2. 7 lb. which cost $1.

Dividing Decimals • If there is a decimal outside the division sign, you must

Practice If the area of a rectangular plot of ground is 263. 22 sq.

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Math Strategies Fractions, Decimals, and Percents

Fraction = Decimal = Percent • Fractions, decimals, and percents are part of one big family. • To change a decimal into a percent, move the decimal two places to the right. • To change a percent into a decimal, move the decimal two places to the left.

$Fraction Addition • To add fractions, the fractions must have a common denominator. Example:$

Fraction Addition • To add fractions, the fractions must have a common denominator. Example:

Practice

Subtract Fractions • Fractions must have a common denominator to subtract them.

Practice

$Mixed Numbers • A mixed number is a whole number and a fraction together.$

Mixed Numbers • A mixed number is a whole number and a fraction together. • It is usually easier to change a mixed number to an improper fraction.

Practice

Multiplying Fractions • Multiply the top numbers and the bottom numbers straight across.

$Dividing Fractions • We cannot divide fractions. We must invert the fraction after the$

Dividing Fractions • We cannot divide fractions. We must invert the fraction after the division sign and then multiply.

Practice

Percents • It is best to change a percent into either a decimal or a fraction. • Percent word problems:

Practice • What is 35% of $9, 000? • Marta paid $34 for shoes. What percent of the original $50 price did she pay? • The 6% sales tax on a purchase was $3. 40. What was the price of the item?

Adding Decimals • Use columns and Line up the Decimals

Practice • How many miles did Sonia drive her car if she drove 14 mi. on Monday, 23. 8 mi. on Tuesday, 5. 3 mi. on Wednesday, and 3. 25 mi. on Thursday?

Subtracting Decimals • Use columns and Line up the Decimals

Practice • If the perimeter of a triangular plot of ground is 34. 671 ft. and two of its sides measure 12. 7 ft. and 15. 386 ft. , find the length of its third side.

Mixed Practice

Multiplying Decimals • When multiplying numbers with decimals, multiply the numbers in the standard way. When you are finished, count the number of decimal places and move the decimal that many places. • Example:

Practice

Practice • Mr. Bates bought a steak weighing 2. 7 lb. which cost $1. 29 per lb. How much did he pay for the steak?

Dividing Decimals • If there is a decimal outside the division sign, you must move the decimal to create a whole number. Then you move the decimal of the number inside the same number of times.

Practice

Practice If the area of a rectangular plot of ground is 263. 22 sq. in. and the length measures 21. 4 in. , find the measure of its width.