What is 75/38 Divided By 6/4

Solving $\frac{75}{38}\div\frac{6}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{38} \div \frac{6}{4} = \frac{75}{38} \times \frac{4}{6}$

• Multiply the Numerators: $75 \times 4 = 300$
• Multiply the Denominators: $38 \times 6 = 228$
• Form the New Fraction: $\frac{75}{38} \times \frac{6}{4} = \frac{300}{228}$

Let's Simplify $\frac{300}{228}$

• Find the Greatest Common Divisor (GCD) of $300$ and $228$. The GCD of $300$ and $228$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{300 \div 12}{228 \div 12} = \frac{25}{19}$

Answer $\frac{75}{38}\div\frac{6}{4} = \frac{25}{19}$

The following animation demonstrates the divide-by,