What is 48/42 Divided By 2/9

Solving $\frac{48}{42}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{48}{42} \div \frac{2}{9} = \frac{48}{42} \times \frac{9}{2}$

• Multiply the Numerators: $48 \times 9 = 432$
• Multiply the Denominators: $42 \times 2 = 84$
• Form the New Fraction: $\frac{48}{42} \times \frac{2}{9} = \frac{432}{84}$

Let's Simplify $\frac{432}{84}$

• Find the Greatest Common Divisor (GCD) of $432$ and $84$. The GCD of $432$ and $84$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{432 \div 12}{84 \div 12} = \frac{36}{7}$

Answer $\frac{48}{42}\div\frac{2}{9} = \frac{36}{7}$

The following animation demonstrates the divide-by,