What is 46/52 Divided By 3/5

Solving $\frac{46}{52}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{52} \div \frac{3}{5} = \frac{46}{52} \times \frac{5}{3}$

• Multiply the Numerators: $46 \times 5 = 230$
• Multiply the Denominators: $52 \times 3 = 156$
• Form the New Fraction: $\frac{46}{52} \times \frac{3}{5} = \frac{230}{156}$

Let's Simplify $\frac{230}{156}$

• Find the Greatest Common Divisor (GCD) of $230$ and $156$. The GCD of $230$ and $156$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{230 \div 2}{156 \div 2} = \frac{115}{78}$

Answer $\frac{46}{52}\div\frac{3}{5} = \frac{115}{78}$

The following animation demonstrates the divide-by,