What is 12/38 Divided By 4/5

Solving $\frac{12}{38}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{12}{38} \div \frac{4}{5} = \frac{12}{38} \times \frac{5}{4}$

• Multiply the Numerators: $12 \times 5 = 60$
• Multiply the Denominators: $38 \times 4 = 152$
• Form the New Fraction: $\frac{12}{38} \times \frac{4}{5} = \frac{60}{152}$

Let's Simplify $\frac{60}{152}$

• Find the Greatest Common Divisor (GCD) of $60$ and $152$. The GCD of $60$ and $152$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{60 \div 4}{152 \div 4} = \frac{15}{38}$

Answer $\frac{12}{38}\div\frac{4}{5} = \frac{15}{38}$

The following animation demonstrates the divide-by,