What is 76/34 Divided By 7/4

Answer: 7634÷74\frac{76}{34}\div\frac{7}{4} = 152119\frac{152}{119}

Solving 7634÷74\frac{76}{34}\div\frac{7}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

7634÷74=7634×47\frac{76}{34} \div \frac{7}{4} = \frac{76}{34} \times \frac{4}{7}

  • Multiply the Numerators: 76×4=30476 \times 4 = 304
  • Multiply the Denominators: 34×7=23834 \times 7 = 238
  • Form the New Fraction: 7634×74=304238\frac{76}{34} \times \frac{7}{4} = \frac{304}{238}

Let's Simplify 304238\frac{304}{238}

  • Find the Greatest Common Divisor (GCD) of 304304 and 238238. The GCD of 304304 and 238238 is 22.
  • Divide both the numerator and the denominator by the GCD:304÷2238÷2=152119\frac{304 \div 2}{238 \div 2} = \frac{152}{119}

Answer 7634÷74=152119\frac{76}{34}\div\frac{7}{4} = \frac{152}{119}


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!