What is 24/27 Divided By 7/5

Solving $\frac{24}{27}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{27} \div \frac{7}{5} = \frac{24}{27} \times \frac{5}{7}$

• Multiply the Numerators: $24 \times 5 = 120$
• Multiply the Denominators: $27 \times 7 = 189$
• Form the New Fraction: $\frac{24}{27} \times \frac{7}{5} = \frac{120}{189}$

Let's Simplify $\frac{120}{189}$

• Find the Greatest Common Divisor (GCD) of $120$ and $189$. The GCD of $120$ and $189$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{120 \div 3}{189 \div 3} = \frac{40}{63}$

Answer $\frac{24}{27}\div\frac{7}{5} = \frac{40}{63}$

The following animation demonstrates the divide-by,