What is 91/18 Divided By 1/4

Answer: 9118÷14\frac{91}{18}\div\frac{1}{4} = 1829\frac{182}{9}

Solving 9118÷14\frac{91}{18}\div\frac{1}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

9118÷14=9118×41\frac{91}{18} \div \frac{1}{4} = \frac{91}{18} \times \frac{4}{1}

  • Multiply the Numerators: 91×4=36491 \times 4 = 364
  • Multiply the Denominators: 18×1=1818 \times 1 = 18
  • Form the New Fraction: 9118×14=36418\frac{91}{18} \times \frac{1}{4} = \frac{364}{18}

Let's Simplify 36418\frac{364}{18}

  • Find the Greatest Common Divisor (GCD) of 364364 and 1818. The GCD of 364364 and 1818 is 22.
  • Divide both the numerator and the denominator by the GCD:364÷218÷2=1829\frac{364 \div 2}{18 \div 2} = \frac{182}{9}

Answer 9118÷14=1829\frac{91}{18}\div\frac{1}{4} = \frac{182}{9}


The following animation demonstrates the divide-by,

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