What is 76/34 Divided By 9/4

Solving $\frac{76}{34}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{34} \div \frac{9}{4} = \frac{76}{34} \times \frac{4}{9}$

• Multiply the Numerators: $76 \times 4 = 304$
• Multiply the Denominators: $34 \times 9 = 306$
• Form the New Fraction: $\frac{76}{34} \times \frac{9}{4} = \frac{304}{306}$

Let's Simplify $\frac{304}{306}$

• Find the Greatest Common Divisor (GCD) of $304$ and $306$. The GCD of $304$ and $306$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{304 \div 2}{306 \div 2} = \frac{152}{153}$

Answer $\frac{76}{34}\div\frac{9}{4} = \frac{152}{153}$

The following animation demonstrates the divide-by,