What is 75/45 Divided By 7/9

Answer: 7545÷79\frac{75}{45}\div\frac{7}{9} = 157\frac{15}{7}

Solving 7545÷79\frac{75}{45}\div\frac{7}{9}

  • Rewrite the Division as Multiplication by the Reciprocal:

7545÷79=7545×97\frac{75}{45} \div \frac{7}{9} = \frac{75}{45} \times \frac{9}{7}

  • Multiply the Numerators: 75×9=67575 \times 9 = 675
  • Multiply the Denominators: 45×7=31545 \times 7 = 315
  • Form the New Fraction: 7545×79=675315\frac{75}{45} \times \frac{7}{9} = \frac{675}{315}

Let's Simplify 675315\frac{675}{315}

  • Find the Greatest Common Divisor (GCD) of 675675 and 315315. The GCD of 675675 and 315315 is 4545.
  • Divide both the numerator and the denominator by the GCD:675÷45315÷45=157\frac{675 \div 45}{315 \div 45} = \frac{15}{7}

Answer 7545÷79=157\frac{75}{45}\div\frac{7}{9} = \frac{15}{7}


The following animation demonstrates the divide-by,

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