1. Multiply and Divide Fractions and Decimals

2. Mixed Numbers, Improper Fractions, and Reciprocals Mixed Number: A number made up of a fraction and a whole number. Improper Fraction: A fraction in which the numerator is larger than the denominator. Reciprocal: The number that, when multiplied by a given number, has a product of 1, such as. 7

3. Multiply Fractions Change any mixed numbers to improper fractions. Check for common factors in the numerators and denominators and simplify, if possible. Multiply the numerators and multiply the denominators. Simplify, if possible. Multiply denominators. Find Multiply numerators. Multiply denominators. Multiply numerators. Rewrite. Simplify.

4. Multiply Fractions Change any mixed numbers to improper fractions. Check for common factors in the numerators and denominators and simplify, if possible. Multiply the numerators and multiply the denominators. Simplify, if possible. Multiply.

5. Multiply Fractions Change any mixed numbers to improper fractions. Check for common factors in the numerators and denominators and simplify, if possible. Multiply the numerators and multiply the denominators. Simplify, if possible. Multiply.

6. Divide Fractions Change any mixed numbers to improper fractions. Find the reciprocal of the divisor and rewrite as a multiplication problem. Multiply the numerators and multiply the denominators. Simplify, if possible. Multiply denominators. Find Multiply numerators. Multiply denominators. Multiply numerators. Simplify. Find the reciprocal. Check for common factors and simplify, if possible. Rewrite as multiplication. Find the reciprocal. Rewrite as multiplication.

7. Divide Fractions Divide. Change any mixed numbers to improper fractions. Find the reciprocal of the divisor and rewrite as a multiplication problem. Multiply the numerators and multiply the denominators. Simplify, if possible. Check for common factors and simplify, if possible.

8. Divide Fractions Divide. Change any mixed numbers to improper fractions. Find the reciprocal of the divisor and rewrite as a multiplication. Multiply the numerators and multiply the denominators. Simplify, if possible. Check for common factors and simplify, if possible.

9. Multiply Decimals Multiply decimals in the same way as whole numbers. Count the total number of decimal places in the factors. Place the decimal point in the product. Start at the right and move left the same number of decimal places as in the factors. Multiply. 2 decimal places 1 decimal place 3 decimal places 124.6 × 2.5 22.4 × 1.8 0.5 × 2.65

10. Multiply Decimals Multiply decimals in the same way as whole numbers. Count the total number of decimal places in the factors. Place the decimal point in the product. Start at the right and move left the same number of decimal places as in the factors. Multiply. 2 decimal places 1 decimal place 3 decimal places 124.6 × 2.5 311.5 22.4 × 1.8 40.32 0.5 × 2.65 1.325

11. Divide Decimals Write the problem as long division. If the divisor is a decimal, multiply the divisor and dividend by a power of 10 so that the divisor is a whole number. Add zeros, if needed. Divide. Rewrite as long division. 2.8 ÷ 0.04 0.16 ÷ 0.2 25.5 ÷ 2.5 Place the decimal point in the quotient directly above the decimal point in the dividend. 42.75 ÷ 2.5 Multiply by 10. Place the decimal point. 42.75 ÷ 2.5 = 17.1

12. Divide Decimals Write the problem as long division. If the divisor is a decimal, multiply the divisor and dividend by a power of 10 so that the divisor is a whole number. Add zeros, if needed. Divide. Rewrite as long division. 2.8 ÷ 0.04 70 0.16 ÷ 0.2 0.8 25.5 ÷ 2.5 10.2 Place the decimal point in the quotient directly above the decimal point in the dividend. 42.75 ÷ 2.5 Multiply by 10. Place the decimal point. 42.75 ÷ 2.5 = 17.1

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