What is 85/46 Divided By 3/4

Solving $\frac{85}{46}\div\frac{3}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{46} \div \frac{3}{4} = \frac{85}{46} \times \frac{4}{3}$

• Multiply the Numerators: $85 \times 4 = 340$
• Multiply the Denominators: $46 \times 3 = 138$
• Form the New Fraction: $\frac{85}{46} \times \frac{3}{4} = \frac{340}{138}$

Let's Simplify $\frac{340}{138}$

• Find the Greatest Common Divisor (GCD) of $340$ and $138$. The GCD of $340$ and $138$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{340 \div 2}{138 \div 2} = \frac{170}{69}$

Answer $\frac{85}{46}\div\frac{3}{4} = \frac{170}{69}$

The following animation demonstrates the divide-by,