What is 85/76 Divided By 5/4

Solving $\frac{85}{76}\div\frac{5}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{76} \div \frac{5}{4} = \frac{85}{76} \times \frac{4}{5}$

• Multiply the Numerators: $85 \times 4 = 340$
• Multiply the Denominators: $76 \times 5 = 380$
• Form the New Fraction: $\frac{85}{76} \times \frac{5}{4} = \frac{340}{380}$

Let's Simplify $\frac{340}{380}$

• Find the Greatest Common Divisor (GCD) of $340$ and $380$. The GCD of $340$ and $380$ is $20$.
• Divide both the numerator and the denominator by the GCD:$\frac{340 \div 20}{380 \div 20} = \frac{17}{19}$

Answer $\frac{85}{76}\div\frac{5}{4} = \frac{17}{19}$

The following animation demonstrates the divide-by,