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Evaluate. (5)/(6)÷(9)/(4)=

Evaluate.\newline56÷94= \frac{5}{6} \div \frac{9}{4}=

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Full solution

Q. Evaluate.\newline56÷94= \frac{5}{6} \div \frac{9}{4}=
  1. Convert to multiplication: Convert the division of fractions to multiplication by the reciprocal.\newlineTo divide by a fraction, you multiply by its reciprocal. The reciprocal of (9)/(4)(9)/(4) is (4)/(9)(4)/(9).
  2. Multiply fractions: Multiply (56)(\frac{5}{6}) by the reciprocal of (94)(\frac{9}{4}), which is (49)(\frac{4}{9}).\newline(56)×(49)=(5×46×9)(\frac{5}{6}) \times (\frac{4}{9}) = (\frac{5\times4}{6\times9})
  3. Perform multiplication: Perform the multiplication.\newline(5×4)/(6×9)=20/54(5\times4)/(6\times9) = 20/54
  4. Simplify fraction: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator and dividing both by it.\newlineThe GCD of 2020 and 5454 is 22.\newline2054÷22=1027\frac{20}{54} \div \frac{2}{2} = \frac{10}{27}

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