What is 19/38 Divided By 9/8

Solving $\frac{19}{38}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{19}{38} \div \frac{9}{8} = \frac{19}{38} \times \frac{8}{9}$

• Multiply the Numerators: $19 \times 8 = 152$
• Multiply the Denominators: $38 \times 9 = 342$
• Form the New Fraction: $\frac{19}{38} \times \frac{9}{8} = \frac{152}{342}$

Let's Simplify $\frac{152}{342}$

• Find the Greatest Common Divisor (GCD) of $152$ and $342$. The GCD of $152$ and $342$ is $38$.
• Divide both the numerator and the denominator by the GCD:$\frac{152 \div 38}{342 \div 38} = \frac{4}{9}$

Answer $\frac{19}{38}\div\frac{9}{8} = \frac{4}{9}$

The following animation demonstrates the divide-by,