What is 75/38 Divided By 9/6

Solving $\frac{75}{38}\div\frac{9}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{38} \div \frac{9}{6} = \frac{75}{38} \times \frac{6}{9}$

• Multiply the Numerators: $75 \times 6 = 450$
• Multiply the Denominators: $38 \times 9 = 342$
• Form the New Fraction: $\frac{75}{38} \times \frac{9}{6} = \frac{450}{342}$

Let's Simplify $\frac{450}{342}$

• Find the Greatest Common Divisor (GCD) of $450$ and $342$. The GCD of $450$ and $342$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{450 \div 18}{342 \div 18} = \frac{25}{19}$

Answer $\frac{75}{38}\div\frac{9}{6} = \frac{25}{19}$

The following animation demonstrates the divide-by,