What is 85/18 Divided By 7/4

Answer: 8518÷74\frac{85}{18}\div\frac{7}{4} = 17063\frac{170}{63}

Solving 8518÷74\frac{85}{18}\div\frac{7}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

8518÷74=8518×47\frac{85}{18} \div \frac{7}{4} = \frac{85}{18} \times \frac{4}{7}

  • Multiply the Numerators: 85×4=34085 \times 4 = 340
  • Multiply the Denominators: 18×7=12618 \times 7 = 126
  • Form the New Fraction: 8518×74=340126\frac{85}{18} \times \frac{7}{4} = \frac{340}{126}

Let's Simplify 340126\frac{340}{126}

  • Find the Greatest Common Divisor (GCD) of 340340 and 126126. The GCD of 340340 and 126126 is 22.
  • Divide both the numerator and the denominator by the GCD:340÷2126÷2=17063\frac{340 \div 2}{126 \div 2} = \frac{170}{63}

Answer 8518÷74=17063\frac{85}{18}\div\frac{7}{4} = \frac{170}{63}


The following animation demonstrates the divide-by,

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