What is 18/75 Divided By 9/8

Solving $\frac{18}{75}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{75} \div \frac{9}{8} = \frac{18}{75} \times \frac{8}{9}$

• Multiply the Numerators: $18 \times 8 = 144$
• Multiply the Denominators: $75 \times 9 = 675$
• Form the New Fraction: $\frac{18}{75} \times \frac{9}{8} = \frac{144}{675}$

Let's Simplify $\frac{144}{675}$

• Find the Greatest Common Divisor (GCD) of $144$ and $675$. The GCD of $144$ and $675$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{144 \div 9}{675 \div 9} = \frac{16}{75}$

Answer $\frac{18}{75}\div\frac{9}{8} = \frac{16}{75}$

The following animation demonstrates the divide-by,