What is 99/45 Divided By 7/8

Answer: 9945÷78\frac{99}{45}\div\frac{7}{8} = 8835\frac{88}{35}

Solving 9945÷78\frac{99}{45}\div\frac{7}{8}

  • Rewrite the Division as Multiplication by the Reciprocal:

9945÷78=9945×87\frac{99}{45} \div \frac{7}{8} = \frac{99}{45} \times \frac{8}{7}

  • Multiply the Numerators: 99×8=79299 \times 8 = 792
  • Multiply the Denominators: 45×7=31545 \times 7 = 315
  • Form the New Fraction: 9945×78=792315\frac{99}{45} \times \frac{7}{8} = \frac{792}{315}

Let's Simplify 792315\frac{792}{315}

  • Find the Greatest Common Divisor (GCD) of 792792 and 315315. The GCD of 792792 and 315315 is 99.
  • Divide both the numerator and the denominator by the GCD:792÷9315÷9=8835\frac{792 \div 9}{315 \div 9} = \frac{88}{35}

Answer 9945÷78=8835\frac{99}{45}\div\frac{7}{8} = \frac{88}{35}


The following animation demonstrates the divide-by,

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