What is 24/27 Divided By 2/7

Solving $\frac{24}{27}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{27} \div \frac{2}{7} = \frac{24}{27} \times \frac{7}{2}$

• Multiply the Numerators: $24 \times 7 = 168$
• Multiply the Denominators: $27 \times 2 = 54$
• Form the New Fraction: $\frac{24}{27} \times \frac{2}{7} = \frac{168}{54}$

Let's Simplify $\frac{168}{54}$

• Find the Greatest Common Divisor (GCD) of $168$ and $54$. The GCD of $168$ and $54$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{168 \div 6}{54 \div 6} = \frac{28}{9}$

Answer $\frac{24}{27}\div\frac{2}{7} = \frac{28}{9}$

The following animation demonstrates the divide-by,