What is 61/45 Divided By 7/9

Answer: 6145÷79\frac{61}{45}\div\frac{7}{9} = 6135\frac{61}{35}

Solving 6145÷79\frac{61}{45}\div\frac{7}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

6145÷79=6145×97\frac{61}{45} \div \frac{7}{9} = \frac{61}{45} \times \frac{9}{7}

  • Multiply the Numerators: 61×9=54961 \times 9 = 549
  • Multiply the Denominators: 45×7=31545 \times 7 = 315
  • Form the New Fraction: 6145×79=549315\frac{61}{45} \times \frac{7}{9} = \frac{549}{315}

Let's Simplify 549315\frac{549}{315}

  • Find the Greatest Common Divisor (GCD) of 549549 and 315315. The GCD of 549549 and 315315 is 99.
  • Divide both the numerator and the denominator by the GCD:549÷9315÷9=6135\frac{549 \div 9}{315 \div 9} = \frac{61}{35}

Answer 6145÷79=6135\frac{61}{45}\div\frac{7}{9} = \frac{61}{35}


The following animation demonstrates the divide-by,

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