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Evaluate. (5)/(9)÷(8)/(5)=

Evaluate.\newline59÷85= \frac{5}{9} \div \frac{8}{5}=

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Add, subtract, multiply, and divide integersright chevron icon

Full solution

Q. Evaluate.\newline59÷85= \frac{5}{9} \div \frac{8}{5}=
  1. Understanding division of 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. Finding the reciprocal: Find the reciprocal of the second fraction.\newlineThe reciprocal of (85)(\frac{8}{5}) is (58)(\frac{5}{8}).
  3. Multiplying the fractions: Multiply the first fraction by the reciprocal of the second fraction.\newline(59)÷(85)=(59)×(58)(\frac{5}{9}) \div (\frac{8}{5}) = (\frac{5}{9}) \times (\frac{5}{8})
  4. Performing the multiplication: Perform the multiplication.\newlineTo multiply two fractions, multiply the numerators together and the denominators together.\newline(59)×(58)=(5×59×8)=2572(\frac{5}{9}) \times (\frac{5}{8}) = (\frac{5 \times 5}{9 \times 8}) = \frac{25}{72}
  5. Simplifying the fraction: Simplify the fraction if possible.\newlineIn this case, 2525 and 7272 have no common factors other than 11, so the fraction is already in its simplest form.

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