What is 76/38 Divided By 5/4

Solving $\frac{76}{38}\div\frac{5}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{38} \div \frac{5}{4} = \frac{76}{38} \times \frac{4}{5}$

• Multiply the Numerators: $76 \times 4 = 304$
• Multiply the Denominators: $38 \times 5 = 190$
• Form the New Fraction: $\frac{76}{38} \times \frac{5}{4} = \frac{304}{190}$

Let's Simplify $\frac{304}{190}$

• Find the Greatest Common Divisor (GCD) of $304$ and $190$. The GCD of $304$ and $190$ is $38$.
• Divide both the numerator and the denominator by the GCD:$\frac{304 \div 38}{190 \div 38} = \frac{8}{5}$

Answer $\frac{76}{38}\div\frac{5}{4} = \frac{8}{5}$

The following animation demonstrates the divide-by,