What is 34/42 Divided By 9/8

Answer: 3442÷98\frac{34}{42}\div\frac{9}{8} = 136189\frac{136}{189}

Solving 3442÷98\frac{34}{42}\div\frac{9}{8}

  • Rewrite the Division as Multiplication by the Reciprocal:

3442÷98=3442×89\frac{34}{42} \div \frac{9}{8} = \frac{34}{42} \times \frac{8}{9}

  • Multiply the Numerators: 34×8=27234 \times 8 = 272
  • Multiply the Denominators: 42×9=37842 \times 9 = 378
  • Form the New Fraction: 3442×98=272378\frac{34}{42} \times \frac{9}{8} = \frac{272}{378}

Let's Simplify 272378\frac{272}{378}

  • Find the Greatest Common Divisor (GCD) of 272272 and 378378. The GCD of 272272 and 378378 is 22.
  • Divide both the numerator and the denominator by the GCD:272÷2378÷2=136189\frac{272 \div 2}{378 \div 2} = \frac{136}{189}

Answer 3442÷98=136189\frac{34}{42}\div\frac{9}{8} = \frac{136}{189}


The following animation demonstrates the divide-by,

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