What is 57/38 Divided By 9/5

Solving $\frac{57}{38}\div\frac{9}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{38} \div \frac{9}{5} = \frac{57}{38} \times \frac{5}{9}$

• Multiply the Numerators: $57 \times 5 = 285$
• Multiply the Denominators: $38 \times 9 = 342$
• Form the New Fraction: $\frac{57}{38} \times \frac{9}{5} = \frac{285}{342}$

Let's Simplify $\frac{285}{342}$

• Find the Greatest Common Divisor (GCD) of $285$ and $342$. The GCD of $285$ and $342$ is $57$.
• Divide both the numerator and the denominator by the GCD:$\frac{285 \div 57}{342 \div 57} = \frac{5}{6}$

Answer $\frac{57}{38}\div\frac{9}{5} = \frac{5}{6}$

The following animation demonstrates the divide-by,