What is 57/38 Divided By 5/6

Solving $\frac{57}{38}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{38} \div \frac{5}{6} = \frac{57}{38} \times \frac{6}{5}$

• Multiply the Numerators: $57 \times 6 = 342$
• Multiply the Denominators: $38 \times 5 = 190$
• Form the New Fraction: $\frac{57}{38} \times \frac{5}{6} = \frac{342}{190}$

Let's Simplify $\frac{342}{190}$

• Find the Greatest Common Divisor (GCD) of $342$ and $190$. The GCD of $342$ and $190$ is $38$.
• Divide both the numerator and the denominator by the GCD:$\frac{342 \div 38}{190 \div 38} = \frac{9}{5}$

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

The following animation demonstrates the divide-by,