What is 28/11 Divided By 7/9

Solving $\frac{28}{11}\div\frac{7}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{11} \div \frac{7}{9} = \frac{28}{11} \times \frac{9}{7}$

• Multiply the Numerators: $28 \times 9 = 252$
• Multiply the Denominators: $11 \times 7 = 77$
• Form the New Fraction: $\frac{28}{11} \times \frac{7}{9} = \frac{252}{77}$

Let's Simplify $\frac{252}{77}$

• Find the Greatest Common Divisor (GCD) of $252$ and $77$. The GCD of $252$ and $77$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{252 \div 7}{77 \div 7} = \frac{36}{11}$

Answer $\frac{28}{11}\div\frac{7}{9} = \frac{36}{11}$

The following animation demonstrates the divide-by,