What is 18/74 Divided By 3/5

Solving $\frac{18}{74}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{74} \div \frac{3}{5} = \frac{18}{74} \times \frac{5}{3}$

• Multiply the Numerators: $18 \times 5 = 90$
• Multiply the Denominators: $74 \times 3 = 222$
• Form the New Fraction: $\frac{18}{74} \times \frac{3}{5} = \frac{90}{222}$

Let's Simplify $\frac{90}{222}$

• Find the Greatest Common Divisor (GCD) of $90$ and $222$. The GCD of $90$ and $222$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{90 \div 6}{222 \div 6} = \frac{15}{37}$

Answer $\frac{18}{74}\div\frac{3}{5} = \frac{15}{37}$

The following animation demonstrates the divide-by,