What is 38/24 Divided By 5/4

Solving $\frac{38}{24}\div\frac{5}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{38}{24} \div \frac{5}{4} = \frac{38}{24} \times \frac{4}{5}$

• Multiply the Numerators: $38 \times 4 = 152$
• Multiply the Denominators: $24 \times 5 = 120$
• Form the New Fraction: $\frac{38}{24} \times \frac{5}{4} = \frac{152}{120}$

Let's Simplify $\frac{152}{120}$

• Find the Greatest Common Divisor (GCD) of $152$ and $120$. The GCD of $152$ and $120$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{152 \div 8}{120 \div 8} = \frac{19}{15}$

Answer $\frac{38}{24}\div\frac{5}{4} = \frac{19}{15}$

The following animation demonstrates the divide-by,