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Evaluate. (1)/(4)÷(8)/(3)=

Evaluate.\newline14÷83= \frac{1}{4} \div \frac{8}{3}=

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Add, subtract, multiply, and divide integersright chevron icon

Full solution

Q. Evaluate.\newline14÷83= \frac{1}{4} \div \frac{8}{3}=
  1. Understand division between fractions: Understand the operation of division between two fractions.\newlineTo divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping its numerator and denominator.
  2. Find reciprocal of second fraction: Find the reciprocal of the second fraction.\newlineThe reciprocal of (83)(\frac{8}{3}) is (38)(\frac{3}{8}), because we swap the numerator and the denominator.
  3. Multiply first fraction by reciprocal: Multiply the first fraction by the reciprocal of the second fraction.\newline(14)÷(83)(\frac{1}{4}) \div (\frac{8}{3}) becomes (14)×(38)(\frac{1}{4}) \times (\frac{3}{8}).
  4. Perform multiplication: Perform the multiplication.\newlineTo multiply two fractions, we multiply the numerators together and the denominators together.\newline(1×3)/(4×8)=3/32(1 \times 3) / (4 \times 8) = 3 / 32.

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