What is 45/53 Divided By 3/8

Solving $\frac{45}{53}\div\frac{3}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{53} \div \frac{3}{8} = \frac{45}{53} \times \frac{8}{3}$

• Multiply the Numerators: $45 \times 8 = 360$
• Multiply the Denominators: $53 \times 3 = 159$
• Form the New Fraction: $\frac{45}{53} \times \frac{3}{8} = \frac{360}{159}$

Let's Simplify $\frac{360}{159}$

• Find the Greatest Common Divisor (GCD) of $360$ and $159$. The GCD of $360$ and $159$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{360 \div 3}{159 \div 3} = \frac{120}{53}$

Answer $\frac{45}{53}\div\frac{3}{8} = \frac{120}{53}$

The following animation demonstrates the divide-by,