What is 76/34 Divided By 7/8

Answer: 7634÷78\frac{76}{34}\div\frac{7}{8} = 304119\frac{304}{119}

Solving 7634÷78\frac{76}{34}\div\frac{7}{8}

  • Rewrite the Division as Multiplication by the Reciprocal:

7634÷78=7634×87\frac{76}{34} \div \frac{7}{8} = \frac{76}{34} \times \frac{8}{7}

  • Multiply the Numerators: 76×8=60876 \times 8 = 608
  • Multiply the Denominators: 34×7=23834 \times 7 = 238
  • Form the New Fraction: 7634×78=608238\frac{76}{34} \times \frac{7}{8} = \frac{608}{238}

Let's Simplify 608238\frac{608}{238}

  • Find the Greatest Common Divisor (GCD) of 608608 and 238238. The GCD of 608608 and 238238 is 22.
  • Divide both the numerator and the denominator by the GCD:608÷2238÷2=304119\frac{608 \div 2}{238 \div 2} = \frac{304}{119}

Answer 7634÷78=304119\frac{76}{34}\div\frac{7}{8} = \frac{304}{119}


The following animation demonstrates the divide-by,

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