What is 12/61 Divided By 4/7

Answer: 1261÷47\frac{12}{61}\div\frac{4}{7} = 2161\frac{21}{61}

Solving 1261÷47\frac{12}{61}\div\frac{4}{7}

  • Rewrite the Division as Multiplication by the Reciprocal:

1261÷47=1261×74\frac{12}{61} \div \frac{4}{7} = \frac{12}{61} \times \frac{7}{4}

  • Multiply the Numerators: 12×7=8412 \times 7 = 84
  • Multiply the Denominators: 61×4=24461 \times 4 = 244
  • Form the New Fraction: 1261×47=84244\frac{12}{61} \times \frac{4}{7} = \frac{84}{244}

Let's Simplify 84244\frac{84}{244}

  • Find the Greatest Common Divisor (GCD) of 8484 and 244244. The GCD of 8484 and 244244 is 44.
  • Divide both the numerator and the denominator by the GCD:84÷4244÷4=2161\frac{84 \div 4}{244 \div 4} = \frac{21}{61}

Answer 1261÷47=2161\frac{12}{61}\div\frac{4}{7} = \frac{21}{61}


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!