What is 70/38 Divided By 6/9

Answer: 7038÷69\frac{70}{38}\div\frac{6}{9} = 10538\frac{105}{38}

Solving 7038÷69\frac{70}{38}\div\frac{6}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

7038÷69=7038×96\frac{70}{38} \div \frac{6}{9} = \frac{70}{38} \times \frac{9}{6}

  • Multiply the Numerators: 70×9=63070 \times 9 = 630
  • Multiply the Denominators: 38×6=22838 \times 6 = 228
  • Form the New Fraction: 7038×69=630228\frac{70}{38} \times \frac{6}{9} = \frac{630}{228}

Let's Simplify 630228\frac{630}{228}

  • Find the Greatest Common Divisor (GCD) of 630630 and 228228. The GCD of 630630 and 228228 is 66.
  • Divide both the numerator and the denominator by the GCD:630÷6228÷6=10538\frac{630 \div 6}{228 \div 6} = \frac{105}{38}

Answer 7038÷69=10538\frac{70}{38}\div\frac{6}{9} = \frac{105}{38}


The following animation demonstrates the divide-by,

©AskMathGuru
Need support for a different topic or want to share a feedback? Write to us and we'll work on adding it. Be a part of our progress!