What is 46/53 Divided By 3/9

Solving $\frac{46}{53}\div\frac{3}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{53} \div \frac{3}{9} = \frac{46}{53} \times \frac{9}{3}$

• Multiply the Numerators: $46 \times 9 = 414$
• Multiply the Denominators: $53 \times 3 = 159$
• Form the New Fraction: $\frac{46}{53} \times \frac{3}{9} = \frac{414}{159}$

Let's Simplify $\frac{414}{159}$

• Find the Greatest Common Divisor (GCD) of $414$ and $159$. The GCD of $414$ and $159$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{414 \div 3}{159 \div 3} = \frac{138}{53}$

Answer $\frac{46}{53}\div\frac{3}{9} = \frac{138}{53}$

The following animation demonstrates the divide-by,