What is 18/38 Divided By 9/8

Solving $\frac{18}{38}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{38} \div \frac{9}{8} = \frac{18}{38} \times \frac{8}{9}$

• Multiply the Numerators: $18 \times 8 = 144$
• Multiply the Denominators: $38 \times 9 = 342$
• Form the New Fraction: $\frac{18}{38} \times \frac{9}{8} = \frac{144}{342}$

Let's Simplify $\frac{144}{342}$

• Find the Greatest Common Divisor (GCD) of $144$ and $342$. The GCD of $144$ and $342$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{144 \div 18}{342 \div 18} = \frac{8}{19}$

Answer $\frac{18}{38}\div\frac{9}{8} = \frac{8}{19}$

The following animation demonstrates the divide-by,