What is 18/19 Divided By 8/9

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $18 \times 9 = 162$
• Multiply the Denominators: $19 \times 8 = 152$
• Form the New Fraction: $\frac{18}{19} \times \frac{8}{9} = \frac{162}{152}$

Let's Simplify $\frac{162}{152}$

• Find the Greatest Common Divisor (GCD) of $162$ and $152$. The GCD of $162$ and $152$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{162 \div 2}{152 \div 2} = \frac{81}{76}$

Answer $\frac{18}{19}\div\frac{8}{9} = \frac{81}{76}$

The following animation demonstrates the divide-by,