What is 46/53 Divided By 4/5

Solving $\frac{46}{53}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{53} \div \frac{4}{5} = \frac{46}{53} \times \frac{5}{4}$

• Multiply the Numerators: $46 \times 5 = 230$
• Multiply the Denominators: $53 \times 4 = 212$
• Form the New Fraction: $\frac{46}{53} \times \frac{4}{5} = \frac{230}{212}$

Let's Simplify $\frac{230}{212}$

• Find the Greatest Common Divisor (GCD) of $230$ and $212$. The GCD of $230$ and $212$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{230 \div 2}{212 \div 2} = \frac{115}{106}$

Answer $\frac{46}{53}\div\frac{4}{5} = \frac{115}{106}$

The following animation demonstrates the divide-by,