What is 24/27 Divided By 7/3

Solving $\frac{24}{27}\div\frac{7}{3}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{27} \div \frac{7}{3} = \frac{24}{27} \times \frac{3}{7}$

• Multiply the Numerators: $24 \times 3 = 72$
• Multiply the Denominators: $27 \times 7 = 189$
• Form the New Fraction: $\frac{24}{27} \times \frac{7}{3} = \frac{72}{189}$

Let's Simplify $\frac{72}{189}$

• Find the Greatest Common Divisor (GCD) of $72$ and $189$. The GCD of $72$ and $189$ is $9$.
• Divide both the numerator and the denominator by the GCD:$\frac{72 \div 9}{189 \div 9} = \frac{8}{21}$

Answer $\frac{24}{27}\div\frac{7}{3} = \frac{8}{21}$

The following animation demonstrates the divide-by,