What is 38/52 Divided By 5/4

Answer: 3852÷54\frac{38}{52}\div\frac{5}{4} = 3865\frac{38}{65}

Solving 3852÷54\frac{38}{52}\div\frac{5}{4}

  • Rewrite the Division as Multiplication by the Reciprocal:

3852÷54=3852×45\frac{38}{52} \div \frac{5}{4} = \frac{38}{52} \times \frac{4}{5}

  • Multiply the Numerators: 38×4=15238 \times 4 = 152
  • Multiply the Denominators: 52×5=26052 \times 5 = 260
  • Form the New Fraction: 3852×54=152260\frac{38}{52} \times \frac{5}{4} = \frac{152}{260}

Let's Simplify 152260\frac{152}{260}

  • Find the Greatest Common Divisor (GCD) of 152152 and 260260. The GCD of 152152 and 260260 is 44.
  • Divide both the numerator and the denominator by the GCD:152÷4260÷4=3865\frac{152 \div 4}{260 \div 4} = \frac{38}{65}

Answer 3852÷54=3865\frac{38}{52}\div\frac{5}{4} = \frac{38}{65}


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!