What is 72/75 Divided By 4/1

Answer: 7275÷41\frac{72}{75}\div\frac{4}{1} = 625\frac{6}{25}

Solving 7275÷41\frac{72}{75}\div\frac{4}{1}

  • Rewrite the Division as Multiplication by the Reciprocal:

7275÷41=7275×14\frac{72}{75} \div \frac{4}{1} = \frac{72}{75} \times \frac{1}{4}

  • Multiply the Numerators: 72×1=7272 \times 1 = 72
  • Multiply the Denominators: 75×4=30075 \times 4 = 300
  • Form the New Fraction: 7275×41=72300\frac{72}{75} \times \frac{4}{1} = \frac{72}{300}

Let's Simplify 72300\frac{72}{300}

  • Find the Greatest Common Divisor (GCD) of 7272 and 300300. The GCD of 7272 and 300300 is 1212.
  • Divide both the numerator and the denominator by the GCD:72÷12300÷12=625\frac{72 \div 12}{300 \div 12} = \frac{6}{25}

Answer 7275÷41=625\frac{72}{75}\div\frac{4}{1} = \frac{6}{25}


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!