What is 46/76 Divided By 4/9

Solving $\frac{46}{76}\div\frac{4}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{76} \div \frac{4}{9} = \frac{46}{76} \times \frac{9}{4}$

• Multiply the Numerators: $46 \times 9 = 414$
• Multiply the Denominators: $76 \times 4 = 304$
• Form the New Fraction: $\frac{46}{76} \times \frac{4}{9} = \frac{414}{304}$

Let's Simplify $\frac{414}{304}$

• Find the Greatest Common Divisor (GCD) of $414$ and $304$. The GCD of $414$ and $304$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{414 \div 2}{304 \div 2} = \frac{207}{152}$

Answer $\frac{46}{76}\div\frac{4}{9} = \frac{207}{152}$

The following animation demonstrates the divide-by,