What is 38/76 Divided By 5/4

Solving $\frac{38}{76}\div\frac{5}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{76} \div \frac{5}{4} = \frac{38}{76} \times \frac{4}{5}$

• Multiply the Numerators: $38 \times 4 = 152$
• Multiply the Denominators: $76 \times 5 = 380$
• Form the New Fraction: $\frac{38}{76} \times \frac{5}{4} = \frac{152}{380}$

Let's Simplify $\frac{152}{380}$

• Find the Greatest Common Divisor (GCD) of $152$ and $380$. The GCD of $152$ and $380$ is $76$.
• Divide both the numerator and the denominator by the GCD:$\frac{152 \div 76}{380 \div 76} = \frac{2}{5}$

Answer $\frac{38}{76}\div\frac{5}{4} = \frac{2}{5}$

The following animation demonstrates the divide-by,