What is 85/38 Divided By 5/9

Solving $\frac{85}{38}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{38} \div \frac{5}{9} = \frac{85}{38} \times \frac{9}{5}$

• Multiply the Numerators: $85 \times 9 = 765$
• Multiply the Denominators: $38 \times 5 = 190$
• Form the New Fraction: $\frac{85}{38} \times \frac{5}{9} = \frac{765}{190}$

Let's Simplify $\frac{765}{190}$

• Find the Greatest Common Divisor (GCD) of $765$ and $190$. The GCD of $765$ and $190$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{765 \div 5}{190 \div 5} = \frac{153}{38}$

Answer $\frac{85}{38}\div\frac{5}{9} = \frac{153}{38}$

The following animation demonstrates the divide-by,