What is 60/76 Divided By 3/4

Answer: 6076÷34\frac{60}{76}\div\frac{3}{4} = 2019\frac{20}{19}

Solving 6076÷34\frac{60}{76}\div\frac{3}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

6076÷34=6076×43\frac{60}{76} \div \frac{3}{4} = \frac{60}{76} \times \frac{4}{3}

  • Multiply the Numerators: 60×4=24060 \times 4 = 240
  • Multiply the Denominators: 76×3=22876 \times 3 = 228
  • Form the New Fraction: 6076×34=240228\frac{60}{76} \times \frac{3}{4} = \frac{240}{228}

Let's Simplify 240228\frac{240}{228}

  • Find the Greatest Common Divisor (GCD) of 240240 and 228228. The GCD of 240240 and 228228 is 1212.
  • Divide both the numerator and the denominator by the GCD:240÷12228÷12=2019\frac{240 \div 12}{228 \div 12} = \frac{20}{19}

Answer 6076÷34=2019\frac{60}{76}\div\frac{3}{4} = \frac{20}{19}


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!