What is 22/38 Divided By 7/9

Solving $\frac{22}{38}\div\frac{7}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{38} \div \frac{7}{9} = \frac{22}{38} \times \frac{9}{7}$

• Multiply the Numerators: $22 \times 9 = 198$
• Multiply the Denominators: $38 \times 7 = 266$
• Form the New Fraction: $\frac{22}{38} \times \frac{7}{9} = \frac{198}{266}$

Let's Simplify $\frac{198}{266}$

• Find the Greatest Common Divisor (GCD) of $198$ and $266$. The GCD of $198$ and $266$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{198 \div 2}{266 \div 2} = \frac{99}{133}$

Answer $\frac{22}{38}\div\frac{7}{9} = \frac{99}{133}$

The following animation demonstrates the divide-by,