What is 45/76 Divided By 3/9

Solving $\frac{45}{76}\div\frac{3}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{76} \div \frac{3}{9} = \frac{45}{76} \times \frac{9}{3}$

• Multiply the Numerators: $45 \times 9 = 405$
• Multiply the Denominators: $76 \times 3 = 228$
• Form the New Fraction: $\frac{45}{76} \times \frac{3}{9} = \frac{405}{228}$

Let's Simplify $\frac{405}{228}$

• Find the Greatest Common Divisor (GCD) of $405$ and $228$. The GCD of $405$ and $228$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{405 \div 3}{228 \div 3} = \frac{135}{76}$

Answer $\frac{45}{76}\div\frac{3}{9} = \frac{135}{76}$

The following animation demonstrates the divide-by,