What is 18/63 Divided By 3/5

Solving $\frac{18}{63}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{63} \div \frac{3}{5} = \frac{18}{63} \times \frac{5}{3}$

• Multiply the Numerators: $18 \times 5 = 90$
• Multiply the Denominators: $63 \times 3 = 189$
• Form the New Fraction: $\frac{18}{63} \times \frac{3}{5} = \frac{90}{189}$

Let's Simplify $\frac{90}{189}$

• Find the Greatest Common Divisor (GCD) of $90$ and $189$. The GCD of $90$ and $189$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{90 \div 9}{189 \div 9} = \frac{10}{21}$

Answer $\frac{18}{63}\div\frac{3}{5} = \frac{10}{21}$

The following animation demonstrates the divide-by,