What is 38/45 Divided By 4/1

Answer: 3845÷41\frac{38}{45}\div\frac{4}{1} = 1990\frac{19}{90}

Solving 3845÷41\frac{38}{45}\div\frac{4}{1}

  • Rewrite the Division as Multiplication by the Reciprocal:

3845÷41=3845×14\frac{38}{45} \div \frac{4}{1} = \frac{38}{45} \times \frac{1}{4}

  • Multiply the Numerators: 38×1=3838 \times 1 = 38
  • Multiply the Denominators: 45×4=18045 \times 4 = 180
  • Form the New Fraction: 3845×41=38180\frac{38}{45} \times \frac{4}{1} = \frac{38}{180}

Let's Simplify 38180\frac{38}{180}

  • Find the Greatest Common Divisor (GCD) of 3838 and 180180. The GCD of 3838 and 180180 is 22.
  • Divide both the numerator and the denominator by the GCD:38÷2180÷2=1990\frac{38 \div 2}{180 \div 2} = \frac{19}{90}

Answer 3845÷41=1990\frac{38}{45}\div\frac{4}{1} = \frac{19}{90}


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!