What is 12/72 Divided By 7/8

Answer: 1272÷78\frac{12}{72}\div\frac{7}{8} = 421\frac{4}{21}

Solving 1272÷78\frac{12}{72}\div\frac{7}{8}

  • Rewrite the Division as Multiplication by the Reciprocal:

1272÷78=1272×87\frac{12}{72} \div \frac{7}{8} = \frac{12}{72} \times \frac{8}{7}

  • Multiply the Numerators: 12×8=9612 \times 8 = 96
  • Multiply the Denominators: 72×7=50472 \times 7 = 504
  • Form the New Fraction: 1272×78=96504\frac{12}{72} \times \frac{7}{8} = \frac{96}{504}

Let's Simplify 96504\frac{96}{504}

  • Find the Greatest Common Divisor (GCD) of 9696 and 504504. The GCD of 9696 and 504504 is 2424.
  • Divide both the numerator and the denominator by the GCD:96÷24504÷24=421\frac{96 \div 24}{504 \div 24} = \frac{4}{21}

Answer 1272÷78=421\frac{12}{72}\div\frac{7}{8} = \frac{4}{21}


The following animation demonstrates the divide-by,

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