What is 45/76 Divided By 9/4

Solving $\frac{45}{76}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{76} \div \frac{9}{4} = \frac{45}{76} \times \frac{4}{9}$

• Multiply the Numerators: $45 \times 4 = 180$
• Multiply the Denominators: $76 \times 9 = 684$
• Form the New Fraction: $\frac{45}{76} \times \frac{9}{4} = \frac{180}{684}$

Let's Simplify $\frac{180}{684}$

• Find the Greatest Common Divisor (GCD) of $180$ and $684$. The GCD of $180$ and $684$ is $36$.
• Divide both the numerator and the denominator by the GCD:$\frac{180 \div 36}{684 \div 36} = \frac{5}{19}$

Answer $\frac{45}{76}\div\frac{9}{4} = \frac{5}{19}$

The following animation demonstrates the divide-by,