4 DIVIDING FRACTIONS NOTES YOU DO NOT

4 DIVIDING FRACTIONS NOTES YOU DO NOT
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DIVIDING FRACTIONS NOTES

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DIVIDING FRACTIONS NOTES

****You do not need common denominators to divide fractions

Dividing a whole number by a fraction

Step 1: Write the whole number as a fraction with 1 as the denominator.

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Step 2: Write a multiplication problem by inverting* the second fraction.

*Note – invert means to reverse the placement of the numbers in the numerator & denominator. Example: inverts to ALSO KNOWN AS RECIPROCAL - When you multiply a number by its RECIPROCAL the product is 1.

Example: = = 1

4 DIVIDING FRACTIONS NOTES YOU DO NOT =

Step 3: Cross cancel if you can.

1

4 DIVIDING FRACTIONS NOTES YOU DO NOT

1

Step 4: Multiply the numerators.

Multiply the denominators.

=

S tep 5: Write the answer in simplest form. = 5

Dividing a fraction by a whole number

Step 1: Write the whole number as a fraction with 1 as the denominator.

4 =

Step 2: Re-write as a multiplication problem by inverting the second fraction.

4 DIVIDING FRACTIONS NOTES YOU DO NOT

Step 3: Cross cancel if you can.

1

4 DIVIDING FRACTIONS NOTES YOU DO NOT

2

Step 4: Multiply the numerators.

Multiply the denominators.

=

Step 5: Write the answer in simplest form.

= (already in simplest form)

Dividing a fraction by a fraction

Step 1: Invert the divisor (the second fraction).

=

Step 2: Re-write as a multiplication problem by inverting the second fraction.

4 DIVIDING FRACTIONS NOTES YOU DO NOT

Step 3: Cross cancel if you can.

4

4 DIVIDING FRACTIONS NOTES YOU DO NOT

1

Step 4: Multiply the numerators.

Multiply the denominators.

=

Step 5: Write the answer in simplest form.

= (already in simplest form)

Dividing Mixed Numbers

Step 1: Write each mixed number as an improper fraction.

=

Step 2: Re-write as a multiplication problem by inverting the second fraction.

4 DIVIDING FRACTIONS NOTES YOU DO NOT

Step 3: Cross cancel if you can.

4

4 DIVIDING FRACTIONS NOTES YOU DO NOT

1

Step 4: Multiply the numerators.

Multiply the denominators.

=

Step 5: Write the answer in simplest form.

=

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