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(2)/(3)÷8=

23÷8= \frac{2}{3} \div 8=

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Multiply and divide integersright chevron icon

Full solution

Q. 23÷8= \frac{2}{3} \div 8=
  1. Understand the problem: Understand the division problem. We need to divide the fraction (23)(\frac{2}{3}) by the whole number 88.
  2. Convert whole number to fraction: Convert the whole number 88 into a fraction by placing it over 11 to make the division easier. So, 88 becomes 81\frac{8}{1}.
  3. Change to multiplication problem: Change the division problem into a multiplication problem by taking the reciprocal of the second fraction. The reciprocal of 81\frac{8}{1} is 18\frac{1}{8}.
  4. Perform multiplication: Multiply the first fraction by the reciprocal of the second fraction. So, (23)×(18)=(2×13×8)(\frac{2}{3}) \times (\frac{1}{8}) = (\frac{2\times 1}{3\times 8}).
  5. Write down result: Perform the multiplication. Multiply the numerators together and the denominators together. 2×1=22 \times 1 = 2 and 3×8=243 \times 8 = 24.
  6. Simplify the fraction: Write down the result of the multiplication as a new fraction. The result is 224\frac{2}{24}.
  7. Divide by greatest common divisor: Simplify the fraction by finding the greatest common divisor of the numerator and the denominator. The greatest common divisor of 22 and 2424 is 22.
  8. Write down final answer: Divide both the numerator and the denominator by the greatest common divisor to simplify the fraction. 22=1\frac{2}{2} = 1 and 242=12\frac{24}{2} = 12.
  9. Write down final answer: Divide both the numerator and the denominator by the greatest common divisor to simplify the fraction. 22=1\frac{2}{2} = 1 and 242=12\frac{24}{2} = 12. Write down the simplified fraction. The final answer is 112\frac{1}{12}.

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