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1/7 ÷ 4= 2. 6/1 ÷ 2/7= 3. 3/5 ÷ 1/5= 4. 7/9 ÷ 5/6= 5. 10/13 ÷ 3/4= 6. 8/1 ÷ 5/8= 7. 2/3 ÷ 1/6= 8. 3/4 ÷ 2/5=
Mathematics
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Step-by-step solution
24 stepsHere are the solutions to the fraction division problems:
Rewrite the whole number as a fraction.
$$ \frac{1}{7} \div \frac{4}{1} $$Multiply by the reciprocal of the second fraction.
$$ \frac{1}{7} \times \frac{1}{4} $$Multiply the numerators and the denominators.
$$ \frac{1 \times 1}{7 \times 4} = \frac{1}{28} $$ The final answer is $\boxed{\mathbf{\frac{1}{28}}}$.2.
Rewrite the whole number as a fraction.
$$ \frac{6}{1} \div \frac{2}{7} $$Multiply by the reciprocal of the second fraction.
$$ \frac{6}{1} \times \frac{7}{2} $$Multiply the numerators and the denominators.
$$ \frac{6 \times 7}{1 \times 2} = \frac{42}{2} $$Simplify the fraction.
$$ \frac{42}{2} = 21 $$ The final answer is $\boxed{\mathbf{21}}$.3.
Rewrite the whole number as a fraction.
$$ \frac{3}{5} \div \frac{5}{1} $$Multiply by the reciprocal of the second fraction.
$$ \frac{3}{5} \times \frac{1}{5} $$Multiply the numerators and the denominators.
$$ \frac{3 \times 1}{5 \times 5} = \frac{3}{25} $$ The final answer is $\boxed{\mathbf{\frac{3}{25}}}$.4.
Multiply by the reciprocal of the second fraction.
$$ \frac{7}{9} \times \frac{6}{5} $$Multiply the numerators and the denominators.
$$ \frac{7 \times 6}{9 \times 5} = \frac{42}{45} $$Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 3.
$$ \frac{42 \div 3}{45 \div 3} = \frac{14}{15} $$ The final answer is $\boxed{\mathbf{\frac{14}{15}}}$.5.
Multiply by the reciprocal of the second fraction.
$$ \frac{10}{13} \times \frac{4}{3} $$Multiply the numerators and the denominators.
$$ \frac{10 \times 4}{13 \times 3} = \frac{40}{39} $$ The final answer is $\boxed{\mathbf{\frac{40}{39}}}$.6.
Rewrite the whole number as a fraction.
$$ \frac{8}{1} \div \frac{5}{8} $$Multiply by the reciprocal of the second fraction.
$$ \frac{8}{1} \times \frac{8}{5} $$Multiply the numerators and the denominators.
$$ \frac{8 \times 8}{1 \times 5} = \frac{64}{5} $$ The final answer is $\boxed{\mathbf{\frac{64}{5}}}$.7.
Rewrite the whole number as a fraction.
$$ \frac{3}{1} \div \frac{1}{6} $$Multiply by the reciprocal of the second fraction.
$$ \frac{3}{1} \times \frac{6}{1} $$Multiply the numerators and the denominators.
$$ \frac{3 \times 6}{1 \times 1} = \frac{18}{1} $$Simplify the fraction.
$$ \frac{18}{1} = 18 $$ The final answer is $\boxed{\mathbf{18}}$.8.
Multiply by the reciprocal of the second fraction.
$$ \frac{3}{4} \times \frac{5}{2} $$Multiply the numerators and the denominators.
$$ \frac{3 \times 5}{4 \times 2} = \frac{15}{8} $$ The final answer is $\boxed{\mathbf{\frac{15}{8}}}$.
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