What is 46/85 Divided By 4/3

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

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

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

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

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

The following animation demonstrates the divide-by,