What is 27/74 Divided By 5/2

Answer: 2774÷52\frac{27}{74}\div\frac{5}{2} = 27185\frac{27}{185}

Solving 2774÷52\frac{27}{74}\div\frac{5}{2}

  • Rewrite the Division as Multiplication by the Reciprocal:

2774÷52=2774×25\frac{27}{74} \div \frac{5}{2} = \frac{27}{74} \times \frac{2}{5}

  • Multiply the Numerators: 27×2=5427 \times 2 = 54
  • Multiply the Denominators: 74×5=37074 \times 5 = 370
  • Form the New Fraction: 2774×52=54370\frac{27}{74} \times \frac{5}{2} = \frac{54}{370}

Let's Simplify 54370\frac{54}{370}

  • Find the Greatest Common Divisor (GCD) of 5454 and 370370. The GCD of 5454 and 370370 is 22.
  • Divide both the numerator and the denominator by the GCD:54÷2370÷2=27185\frac{54 \div 2}{370 \div 2} = \frac{27}{185}

Answer 2774÷52=27185\frac{27}{74}\div\frac{5}{2} = \frac{27}{185}


The following animation demonstrates the divide-by,

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