What is 45/63 Divided By 5/6

Answer: 4563÷56\frac{45}{63}\div\frac{5}{6} = 67\frac{6}{7}

Solving 4563÷56\frac{45}{63}\div\frac{5}{6}

  • Rewrite the Division as Multiplication by the Reciprocal:

4563÷56=4563×65\frac{45}{63} \div \frac{5}{6} = \frac{45}{63} \times \frac{6}{5}

  • Multiply the Numerators: 45×6=27045 \times 6 = 270
  • Multiply the Denominators: 63×5=31563 \times 5 = 315
  • Form the New Fraction: 4563×56=270315\frac{45}{63} \times \frac{5}{6} = \frac{270}{315}

Let's Simplify 270315\frac{270}{315}

  • Find the Greatest Common Divisor (GCD) of 270270 and 315315. The GCD of 270270 and 315315 is 4545.
  • Divide both the numerator and the denominator by the GCD:270÷45315÷45=67\frac{270 \div 45}{315 \div 45} = \frac{6}{7}

Answer 4563÷56=67\frac{45}{63}\div\frac{5}{6} = \frac{6}{7}


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!