What is 76/19 Divided By 5/9

Solving $\frac{76}{19}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{19} \div \frac{5}{9} = \frac{76}{19} \times \frac{9}{5}$

• Multiply the Numerators: $76 \times 9 = 684$
• Multiply the Denominators: $19 \times 5 = 95$
• Form the New Fraction: $\frac{76}{19} \times \frac{5}{9} = \frac{684}{95}$

Let's Simplify $\frac{684}{95}$

• Find the Greatest Common Divisor (GCD) of $684$ and $95$. The GCD of $684$ and $95$ is $19$.
• Divide both the numerator and the denominator by the GCD:$\frac{684 \div 19}{95 \div 19} = \frac{36}{5}$

Answer $\frac{76}{19}\div\frac{5}{9} = \frac{36}{5}$

The following animation demonstrates the divide-by,