What is 22/24 Divided By 4/7

Solving $\frac{22}{24}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{24} \div \frac{4}{7} = \frac{22}{24} \times \frac{7}{4}$

• Multiply the Numerators: $22 \times 7 = 154$
• Multiply the Denominators: $24 \times 4 = 96$
• Form the New Fraction: $\frac{22}{24} \times \frac{4}{7} = \frac{154}{96}$

Let's Simplify $\frac{154}{96}$

• Find the Greatest Common Divisor (GCD) of $154$ and $96$. The GCD of $154$ and $96$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{154 \div 2}{96 \div 2} = \frac{77}{48}$

Answer $\frac{22}{24}\div\frac{4}{7} = \frac{77}{48}$

The following animation demonstrates the divide-by,