What is 12/74 Divided By 2/9

Solving $\frac{12}{74}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{12}{74} \div \frac{2}{9} = \frac{12}{74} \times \frac{9}{2}$

• Multiply the Numerators: $12 \times 9 = 108$
• Multiply the Denominators: $74 \times 2 = 148$
• Form the New Fraction: $\frac{12}{74} \times \frac{2}{9} = \frac{108}{148}$

Let's Simplify $\frac{108}{148}$

• Find the Greatest Common Divisor (GCD) of $108$ and $148$. The GCD of $108$ and $148$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{108 \div 4}{148 \div 4} = \frac{27}{37}$

Answer $\frac{12}{74}\div\frac{2}{9} = \frac{27}{37}$

The following animation demonstrates the divide-by,