What is 28/33 Divided By 8/6

Solving $\frac{28}{33}\div\frac{8}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{33} \div \frac{8}{6} = \frac{28}{33} \times \frac{6}{8}$

• Multiply the Numerators: $28 \times 6 = 168$
• Multiply the Denominators: $33 \times 8 = 264$
• Form the New Fraction: $\frac{28}{33} \times \frac{8}{6} = \frac{168}{264}$

Let's Simplify $\frac{168}{264}$

• Find the Greatest Common Divisor (GCD) of $168$ and $264$. The GCD of $168$ and $264$ is $24$.
• Divide both the numerator and the denominator by the GCD:$\frac{168 \div 24}{264 \div 24} = \frac{7}{11}$

Answer $\frac{28}{33}\div\frac{8}{6} = \frac{7}{11}$

The following animation demonstrates the divide-by,