What is 60/85 Divided By 3/4

Solving $\frac{60}{85}\div\frac{3}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{60}{85} \div \frac{3}{4} = \frac{60}{85} \times \frac{4}{3}$

• Multiply the Numerators: $60 \times 4 = 240$
• Multiply the Denominators: $85 \times 3 = 255$
• Form the New Fraction: $\frac{60}{85} \times \frac{3}{4} = \frac{240}{255}$

Let's Simplify $\frac{240}{255}$

• Find the Greatest Common Divisor (GCD) of $240$ and $255$. The GCD of $240$ and $255$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{240 \div 15}{255 \div 15} = \frac{16}{17}$

Answer $\frac{60}{85}\div\frac{3}{4} = \frac{16}{17}$

The following animation demonstrates the divide-by,