We read your photo as:

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 steps

Here are the solutions to the fraction division problems:

  1. 17÷4\frac{1}{7} \div 4
  1. Rewrite the whole number as a fraction.

    $$
    \frac{1}{7} \div \frac{4}{1}
    $$
    
  2. Multiply by the reciprocal of the second fraction.

    $$
    \frac{1}{7} \times \frac{1}{4}
    $$
    
  3. 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. 6÷276 \div \frac{2}{7}

  4. Rewrite the whole number as a fraction.

    $$
    \frac{6}{1} \div \frac{2}{7}
    $$
    
  5. Multiply by the reciprocal of the second fraction.

    $$
    \frac{6}{1} \times \frac{7}{2}
    $$
    
  6. Multiply the numerators and the denominators.

    $$
    \frac{6 \times 7}{1 \times 2} = \frac{42}{2}
    $$
    
  7. Simplify the fraction.

    $$
    \frac{42}{2} = 21
    $$
    The final answer is $\boxed{\mathbf{21}}$.
    

    3. 35÷5\frac{3}{5} \div 5

  8. Rewrite the whole number as a fraction.

    $$
    \frac{3}{5} \div \frac{5}{1}
    $$
    
  9. Multiply by the reciprocal of the second fraction.

    $$
    \frac{3}{5} \times \frac{1}{5}
    $$
    
  10. 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. 79÷56\frac{7}{9} \div \frac{5}{6}

  11. Multiply by the reciprocal of the second fraction.

    $$
    \frac{7}{9} \times \frac{6}{5}
    $$
    
  12. Multiply the numerators and the denominators.

    $$
    \frac{7 \times 6}{9 \times 5} = \frac{42}{45}
    $$
    
  13. 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. 1013÷34\frac{10}{13} \div \frac{3}{4}

  14. Multiply by the reciprocal of the second fraction.

    $$
    \frac{10}{13} \times \frac{4}{3}
    $$
    
  15. 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. 8÷588 \div \frac{5}{8}

  16. Rewrite the whole number as a fraction.

    $$
    \frac{8}{1} \div \frac{5}{8}
    $$
    
  17. Multiply by the reciprocal of the second fraction.

    $$
    \frac{8}{1} \times \frac{8}{5}
    $$
    
  18. 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. 3÷163 \div \frac{1}{6}

  19. Rewrite the whole number as a fraction.

    $$
    \frac{3}{1} \div \frac{1}{6}
    $$
    
  20. Multiply by the reciprocal of the second fraction.

    $$
    \frac{3}{1} \times \frac{6}{1}
    $$
    
  21. Multiply the numerators and the denominators.

    $$
    \frac{3 \times 6}{1 \times 1} = \frac{18}{1}
    $$
    
  22. Simplify the fraction.

    $$
    \frac{18}{1} = 18
    $$
    The final answer is $\boxed{\mathbf{18}}$.
    

    8. 34÷25\frac{3}{4} \div \frac{2}{5}

  23. Multiply by the reciprocal of the second fraction.

    $$
    \frac{3}{4} \times \frac{5}{2}
    $$
    
  24. 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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