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Dividing a Whole Number by a Fraction

Dividing a Whole Number by a Fraction. Multiply by the reciprocal. Dividing a Fraction by a Fraction or a Whole Number. Dividing a fraction by a fraction: Multiply by the reciprocal of the divisor Dividing a fraction by a whole number:

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Dividing a Whole Number by a Fraction

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  1. Dividing a Whole Number by a Fraction • Multiply by the reciprocal

  2. Dividing a Fraction by a Fraction or a Whole Number • Dividing a fraction by a fraction: • Multiply by the reciprocal of the divisor • Dividing a fraction by a whole number: • Rewrite the whole number as an improper fraction with a denominator of 1. • Divide the fractions (multiply by the reciprocal of the divisor)

  3. Simplifying Complex Fractions • A complex fraction is a fraction that has a fraction in either the numerator or denominator or both. • To simplify: • Divide the numerator by denominator

  4. Dividing Mixed Numbers • Rewrite the numbers as improper fractions • Divide

  5. Finding Fractional Parts of a Number • To find the fractional part of a number: • Multiply the number by the fraction. • To find a number when a fractional part of it is given: • Divide the part by the fraction.

  6. Changing Fractions to Decimals • Change fractions to decimals: 3 different ways • When the denominator is already a power of ten, use inspection to write the equivalent fraction. • Change the denominator to a power of ten. • Divide.

  7. Changing Mixed Numbers to Decimals • Change the fraction part to a decimal • Attach the decimal to the whole number

  8. Terminating and Repeating Decimals • Terminating decimals: decimals with no remainders • Repeating decimals: decimals whose last digit or digits repeat. • Write a bar over the digit or digits that repeat.

  9. Changing Decimals to Fractions and Mixed Numbers • When the decimal is less than 1: • Read the decimal (.4= 4 tenths) • Write the decimal as the numerator of the fraction- write the power of ten named by the place value of the decimal as the denominator. ( ) • Express the fraction in lowest terms ( )

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