What is 76/38 Divided By 7/4

Solving $\frac{76}{38}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{76}{38} \div \frac{7}{4} = \frac{76}{38} \times \frac{4}{7}$

• Multiply the Numerators: $76 \times 4 = 304$
• Multiply the Denominators: $38 \times 7 = 266$
• Form the New Fraction: $\frac{76}{38} \times \frac{7}{4} = \frac{304}{266}$

Let's Simplify $\frac{304}{266}$

• Find the Greatest Common Divisor (GCD) of $304$ and $266$. The GCD of $304$ and $266$ is $38$.
• Divide both the numerator and the denominator by the GCD:$\frac{304 \div 38}{266 \div 38} = \frac{8}{7}$

Answer $\frac{76}{38}\div\frac{7}{4} = \frac{8}{7}$

The following animation demonstrates the divide-by,