What is 75/98 Divided By 1/6

Answer: 7598÷16\frac{75}{98}\div\frac{1}{6} = 22549\frac{225}{49}

Solving 7598÷16\frac{75}{98}\div\frac{1}{6}

  • Rewrite the Division as Multiplication by the Reciprocal:

7598÷16=7598×61\frac{75}{98} \div \frac{1}{6} = \frac{75}{98} \times \frac{6}{1}

  • Multiply the Numerators: 75×6=45075 \times 6 = 450
  • Multiply the Denominators: 98×1=9898 \times 1 = 98
  • Form the New Fraction: 7598×16=45098\frac{75}{98} \times \frac{1}{6} = \frac{450}{98}

Let's Simplify 45098\frac{450}{98}

  • Find the Greatest Common Divisor (GCD) of 450450 and 9898. The GCD of 450450 and 9898 is 22.
  • Divide both the numerator and the denominator by the GCD:450÷298÷2=22549\frac{450 \div 2}{98 \div 2} = \frac{225}{49}

Answer 7598÷16=22549\frac{75}{98}\div\frac{1}{6} = \frac{225}{49}


The following animation demonstrates the divide-by,

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