What is 22/24 Divided By 3/7

Solving $\frac{22}{24}\div\frac{3}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{24} \div \frac{3}{7} = \frac{22}{24} \times \frac{7}{3}$

• Multiply the Numerators: $22 \times 7 = 154$
• Multiply the Denominators: $24 \times 3 = 72$
• Form the New Fraction: $\frac{22}{24} \times \frac{3}{7} = \frac{154}{72}$

Let's Simplify $\frac{154}{72}$

• Find the Greatest Common Divisor (GCD) of $154$ and $72$. The GCD of $154$ and $72$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{154 \div 2}{72 \div 2} = \frac{77}{36}$

Answer $\frac{22}{24}\div\frac{3}{7} = \frac{77}{36}$

The following animation demonstrates the divide-by,