What is 42/70 Divided By 8/9

Answer: 4270÷89\frac{42}{70}\div\frac{8}{9} = 2740\frac{27}{40}

Solving 4270÷89\frac{42}{70}\div\frac{8}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

4270÷89=4270×98\frac{42}{70} \div \frac{8}{9} = \frac{42}{70} \times \frac{9}{8}

  • Multiply the Numerators: 42×9=37842 \times 9 = 378
  • Multiply the Denominators: 70×8=56070 \times 8 = 560
  • Form the New Fraction: 4270×89=378560\frac{42}{70} \times \frac{8}{9} = \frac{378}{560}

Let's Simplify 378560\frac{378}{560}

  • Find the Greatest Common Divisor (GCD) of 378378 and 560560. The GCD of 378378 and 560560 is 1414.
  • Divide both the numerator and the denominator by the GCD:378÷14560÷14=2740\frac{378 \div 14}{560 \div 14} = \frac{27}{40}

Answer 4270÷89=2740\frac{42}{70}\div\frac{8}{9} = \frac{27}{40}


The following animation demonstrates the divide-by,

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