What is 17/88 Divided By 9/8

Answer: 1788÷98\frac{17}{88}\div\frac{9}{8} = 1799\frac{17}{99}

Solving 1788÷98\frac{17}{88}\div\frac{9}{8}

  • Rewrite the Division as Multiplication by the Reciprocal:

1788÷98=1788×89\frac{17}{88} \div \frac{9}{8} = \frac{17}{88} \times \frac{8}{9}

  • Multiply the Numerators: 17×8=13617 \times 8 = 136
  • Multiply the Denominators: 88×9=79288 \times 9 = 792
  • Form the New Fraction: 1788×98=136792\frac{17}{88} \times \frac{9}{8} = \frac{136}{792}

Let's Simplify 136792\frac{136}{792}

  • Find the Greatest Common Divisor (GCD) of 136136 and 792792. The GCD of 136136 and 792792 is 88.
  • Divide both the numerator and the denominator by the GCD:136÷8792÷8=1799\frac{136 \div 8}{792 \div 8} = \frac{17}{99}

Answer 1788÷98=1799\frac{17}{88}\div\frac{9}{8} = \frac{17}{99}


The following animation demonstrates the divide-by,

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