What is 22/38 Divided By 9/8

Solving $\frac{22}{38}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{38} \div \frac{9}{8} = \frac{22}{38} \times \frac{8}{9}$

• Multiply the Numerators: $22 \times 8 = 176$
• Multiply the Denominators: $38 \times 9 = 342$
• Form the New Fraction: $\frac{22}{38} \times \frac{9}{8} = \frac{176}{342}$

Let's Simplify $\frac{176}{342}$

• Find the Greatest Common Divisor (GCD) of $176$ and $342$. The GCD of $176$ and $342$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{176 \div 2}{342 \div 2} = \frac{88}{171}$

Answer $\frac{22}{38}\div\frac{9}{8} = \frac{88}{171}$

The following animation demonstrates the divide-by,