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Evaluate. (4)/(3)÷(7)/(8)=

Evaluate.\newline43÷78= \frac{4}{3} \div \frac{7}{8}=

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Add, subtract, multiply, and divide integersright chevron icon

Full solution

Q. Evaluate.\newline43÷78= \frac{4}{3} \div \frac{7}{8}=
  1. Understand Operation: Understand the operation to be performed.\newlineWe need to divide the fraction (43)(\frac{4}{3}) by the fraction (78)(\frac{7}{8}). In mathematical terms, this is written as (43)÷(78)(\frac{4}{3}) \div (\frac{7}{8}).
  2. Convert to Multiplication: Convert the division of fractions into multiplication.\newlineTo divide by a fraction, we multiply by its reciprocal. The reciprocal of (78)(\frac{7}{8}) is (87)(\frac{8}{7}).\newline(43)÷(78)=(43)×(87)(\frac{4}{3}) \div (\frac{7}{8}) = (\frac{4}{3}) \times (\frac{8}{7})
  3. Multiply Numerators and Denominators: Multiply the numerators and denominators.\newlineNow we multiply the numerators together and the denominators together.\newlineNumerator: 4×8=324 \times 8 = 32\newlineDenominator: 3×7=213 \times 7 = 21\newlineSo, (43)×(87)=(3221)(\frac{4}{3}) \times (\frac{8}{7}) = (\frac{32}{21})
  4. Simplify Fraction: Simplify the fraction if possible.\newlineThe fraction (3221)(\frac{32}{21}) cannot be simplified further as 3232 and 2121 have no common factors other than 11.

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