What is 27/33 Divided By 7/8

Answer: 2733÷78\frac{27}{33}\div\frac{7}{8} = 7277\frac{72}{77}

Solving 2733÷78\frac{27}{33}\div\frac{7}{8}

  • Rewrite the Division as Multiplication by the Reciprocal:

2733÷78=2733×87\frac{27}{33} \div \frac{7}{8} = \frac{27}{33} \times \frac{8}{7}

  • Multiply the Numerators: 27×8=21627 \times 8 = 216
  • Multiply the Denominators: 33×7=23133 \times 7 = 231
  • Form the New Fraction: 2733×78=216231\frac{27}{33} \times \frac{7}{8} = \frac{216}{231}

Let's Simplify 216231\frac{216}{231}

  • Find the Greatest Common Divisor (GCD) of 216216 and 231231. The GCD of 216216 and 231231 is 33.
  • Divide both the numerator and the denominator by the GCD:216÷3231÷3=7277\frac{216 \div 3}{231 \div 3} = \frac{72}{77}

Answer 2733÷78=7277\frac{27}{33}\div\frac{7}{8} = \frac{72}{77}


The following animation demonstrates the divide-by,

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