What is 70/38 Divided By 4/9

Answer: 7038÷49\frac{70}{38}\div\frac{4}{9} = 31576\frac{315}{76}

Solving 7038÷49\frac{70}{38}\div\frac{4}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

7038÷49=7038×94\frac{70}{38} \div \frac{4}{9} = \frac{70}{38} \times \frac{9}{4}

  • Multiply the Numerators: 70×9=63070 \times 9 = 630
  • Multiply the Denominators: 38×4=15238 \times 4 = 152
  • Form the New Fraction: 7038×49=630152\frac{70}{38} \times \frac{4}{9} = \frac{630}{152}

Let's Simplify 630152\frac{630}{152}

  • Find the Greatest Common Divisor (GCD) of 630630 and 152152. The GCD of 630630 and 152152 is 22.
  • Divide both the numerator and the denominator by the GCD:630÷2152÷2=31576\frac{630 \div 2}{152 \div 2} = \frac{315}{76}

Answer 7038÷49=31576\frac{70}{38}\div\frac{4}{9} = \frac{315}{76}


The following animation demonstrates the divide-by,

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