multiply by the reciprocal to divide
divide fractions by fractions

Find the quotient: \(\mathtt{\frac{1}{4} \div \frac{5}{6} =}\) ?

Write the equivalent fractions with a common denominator of 24.

\(\mathtt{\frac{1}{4}}\) = \(\frac{\FormInput[][math_wrap][]{partial1_wrap}\FormInput{partial1}}{\FormInput[][math_wrap][]{partial2_wrap}\FormInput{partial2}}\)   \(\mathtt{\frac{5}{6}}\) = \(\frac{\FormInput[][math_wrap][]{partial3_wrap}\FormInput{partial3}}{\FormInput[][math_wrap][]{partial4_wrap}\FormInput{partial4}}\)

Divide the numerators from left to right. This is the quotient. Write the quotient in simplest form.

\(\frac{\FormInput[][math_wrap][]{partial5_wrap}\FormInput{partial5}}{\FormInput[][math_wrap][]{partial6_wrap}\FormInput{partial6}}\) = \(\frac{\FormInput[][math_wrap][]{partial7_wrap}\FormInput{partial7}}{\FormInput[][math_wrap][]{partial8_wrap}\FormInput{partial8}}\)

solve problems with division of fractions by fractions

How much chocolate will each person get if 3 people share \(\mathtt{\frac{1}{2}}\) pound of chocolate equally?

1/2

One half pound will be divided equally by 3 people. Write the division problem. (Write 3 as a fraction.)

\(\frac{\FormInput[][math_wrap][]{partial9_wrap}\FormInput{partial9}}{\FormInput[][math_wrap][]{partial10_wrap}\FormInput{partial10}}\) ÷ \(\frac{\FormInput[][math_wrap][]{partial11_wrap}\FormInput{partial11}}{\FormInput[][math_wrap][]{partial12_wrap}\FormInput{partial12}}\)

Rewrite the division problem so that the fractions are in the same "units." This means to use 2 as the common denominator.

\(\frac{\FormInput[][math_wrap][]{partial13_wrap}\FormInput{partial13}}{\FormInput[][math_wrap][]{partial14_wrap}\FormInput{partial14}}\) ÷ \(\frac{\FormInput[][math_wrap][]{partial15_wrap}\FormInput{partial15}}{\FormInput[][math_wrap][]{partial16_wrap}\FormInput{partial16}}\)

The answer is the quotient of the numerators.
Write the quotient.

\(\frac{\FormInput[][math_wrap][]{partial17_wrap}\FormInput{partial17}}{\FormInput[][math_wrap][]{partial18_wrap}\FormInput{partial18}}\)

Write what the answer means.

If each person gets \(\frac{\FormInput[][math_wrap][]{partial20_wrap}\FormInput{partial20}}{\FormInput[][math_wrap][]{partial21_wrap}\FormInput{partial21}}\) pound, then people get \(\frac{\FormInput[][math_wrap][]{partial23_wrap}\FormInput{partial23}}{\FormInput[][math_wrap][]{partial24_wrap}\FormInput{partial24}}\) pound.

solve problems with division of fractions by fractions

How many \(\mathtt{\frac{3}{4}}\)-cup servings are in \(\mathtt{\frac{2}{3}}\) of a cup of yogurt?

Write the division expression that represents this problem.

\(\frac{\FormInput[][math_wrap][]{partial25_wrap}\FormInput{partial25}}{\FormInput[][math_wrap][]{partial26_wrap}\FormInput{partial26}}\) ÷ \(\frac{\FormInput[][math_wrap][]{partial27_wrap}\FormInput{partial27}}{\FormInput[][math_wrap][]{partial28_wrap}\FormInput{partial28}}\)

Write the division problem using a common denominator of 12.

\(\frac{\FormInput[][math_wrap][]{partial29_wrap}\FormInput{partial29}}{\FormInput[][math_wrap][]{partial30_wrap}\FormInput{partial30}}\) ÷ \(\frac{\FormInput[][math_wrap][]{partial31_wrap}\FormInput{partial31}}{\FormInput[][math_wrap][]{partial32_wrap}\FormInput{partial32}}\)

Divide the numerators. This is the answer. Write the fraction answer.

\(\frac{\FormInput[][math_wrap][]{partial33_wrap}\FormInput{partial33}}{\FormInput[][math_wrap][]{partial34_wrap}\FormInput{partial34}}\)

Write what the answer means.

There is \(\frac{\FormInput[][math_wrap][]{partial35_wrap}\FormInput{partial35}}{\FormInput[][math_wrap][]{partial36_wrap}\FormInput{partial36}}\) of a \(\mathtt{\frac{3}{4}}\)-cup serving in \(\mathtt{\frac{2}{3}}\) of a cup of yogurt.

practice with division of fractions

Find each quotient. Write the answer in simplest form.

\(\mathtt{\frac{4}{5}}\) ÷ \(\mathtt{\frac{1}{5}}\) = \(\frac{\FormInput[][math_wrap][]{partial37_wrap}\FormInput{partial37}}{\FormInput[][math_wrap][]{partial38_wrap}\FormInput{partial38}}\)   \(\mathtt{\frac{1}{8}}\) ÷ \(\mathtt{\frac{1}{3}}\) = \(\frac{\FormInput[][math_wrap][]{partial39_wrap}\FormInput{partial39}}{\FormInput[][math_wrap][]{partial40_wrap}\FormInput{partial40}}\)

\(\mathtt{\frac{3}{4}}\) ÷ \(\mathtt{\frac{1}{2}}\) = \(\frac{\FormInput[][math_wrap][]{partial41_wrap}\FormInput{partial41}}{\FormInput[][math_wrap][]{partial42_wrap}\FormInput{partial42}}\)   \(\mathtt{\frac{5}{6}}\) ÷ \(\mathtt{\frac{1}{8}}\) = \(\frac{\FormInput[][math_wrap][]{partial43_wrap}\FormInput{partial43}}{\FormInput[][math_wrap][]{partial44_wrap}\FormInput{partial44}}\)