What is 74/53 Divided By 4/7

Answer: 7453÷47\frac{74}{53}\div\frac{4}{7} = 259106\frac{259}{106}

Solving 7453÷47\frac{74}{53}\div\frac{4}{7}

  • Rewrite the Division as Multiplication by the Reciprocal:

7453÷47=7453×74\frac{74}{53} \div \frac{4}{7} = \frac{74}{53} \times \frac{7}{4}

  • Multiply the Numerators: 74×7=51874 \times 7 = 518
  • Multiply the Denominators: 53×4=21253 \times 4 = 212
  • Form the New Fraction: 7453×47=518212\frac{74}{53} \times \frac{4}{7} = \frac{518}{212}

Let's Simplify 518212\frac{518}{212}

  • Find the Greatest Common Divisor (GCD) of 518518 and 212212. The GCD of 518518 and 212212 is 22.
  • Divide both the numerator and the denominator by the GCD:518÷2212÷2=259106\frac{518 \div 2}{212 \div 2} = \frac{259}{106}

Answer 7453÷47=259106\frac{74}{53}\div\frac{4}{7} = \frac{259}{106}


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!