What is 24/27 Divided By 8/5

Solving $\frac{24}{27}\div\frac{8}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{27} \div \frac{8}{5} = \frac{24}{27} \times \frac{5}{8}$

• Multiply the Numerators: $24 \times 5 = 120$
• Multiply the Denominators: $27 \times 8 = 216$
• Form the New Fraction: $\frac{24}{27} \times \frac{8}{5} = \frac{120}{216}$

Let's Simplify $\frac{120}{216}$

• Find the Greatest Common Divisor (GCD) of $120$ and $216$. The GCD of $120$ and $216$ is $24$.
• Divide both the numerator and the denominator by the GCD:$\frac{120 \div 24}{216 \div 24} = \frac{5}{9}$

Answer $\frac{24}{27}\div\frac{8}{5} = \frac{5}{9}$

The following animation demonstrates the divide-by,