What is 18/19 Divided By 9/8

Solving $\frac{18}{19}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{19} \div \frac{9}{8} = \frac{18}{19} \times \frac{8}{9}$

• Multiply the Numerators: $18 \times 8 = 144$
• Multiply the Denominators: $19 \times 9 = 171$
• Form the New Fraction: $\frac{18}{19} \times \frac{9}{8} = \frac{144}{171}$

Let's Simplify $\frac{144}{171}$

• Find the Greatest Common Divisor (GCD) of $144$ and $171$. The GCD of $144$ and $171$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{144 \div 9}{171 \div 9} = \frac{16}{19}$

Answer $\frac{18}{19}\div\frac{9}{8} = \frac{16}{19}$

The following animation demonstrates the divide-by,