What is 66/33 Divided By 7/4

Solving $\frac{66}{33}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{66}{33} \div \frac{7}{4} = \frac{66}{33} \times \frac{4}{7}$

• Multiply the Numerators: $66 \times 4 = 264$
• Multiply the Denominators: $33 \times 7 = 231$
• Form the New Fraction: $\frac{66}{33} \times \frac{7}{4} = \frac{264}{231}$

Let's Simplify $\frac{264}{231}$

• Find the Greatest Common Divisor (GCD) of $264$ and $231$. The GCD of $264$ and $231$ is $33$.
• Divide both the numerator and the denominator by the GCD:$\frac{264 \div 33}{231 \div 33} = \frac{8}{7}$

Answer $\frac{66}{33}\div\frac{7}{4} = \frac{8}{7}$

The following animation demonstrates the divide-by,