What is 38/72 Divided By 4/1

Answer: 3872÷41\frac{38}{72}\div\frac{4}{1} = 19144\frac{19}{144}

Solving 3872÷41\frac{38}{72}\div\frac{4}{1}

  • Rewrite the Division as Multiplication by the Reciprocal:

3872÷41=3872×14\frac{38}{72} \div \frac{4}{1} = \frac{38}{72} \times \frac{1}{4}

  • Multiply the Numerators: 38×1=3838 \times 1 = 38
  • Multiply the Denominators: 72×4=28872 \times 4 = 288
  • Form the New Fraction: 3872×41=38288\frac{38}{72} \times \frac{4}{1} = \frac{38}{288}

Let's Simplify 38288\frac{38}{288}

  • Find the Greatest Common Divisor (GCD) of 3838 and 288288. The GCD of 3838 and 288288 is 22.
  • Divide both the numerator and the denominator by the GCD:38÷2288÷2=19144\frac{38 \div 2}{288 \div 2} = \frac{19}{144}

Answer 3872÷41=19144\frac{38}{72}\div\frac{4}{1} = \frac{19}{144}


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!