What is 54/75 Divided By 7/2

Solving $\frac{54}{75}\div\frac{7}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{75} \div \frac{7}{2} = \frac{54}{75} \times \frac{2}{7}$

• Multiply the Numerators: $54 \times 2 = 108$
• Multiply the Denominators: $75 \times 7 = 525$
• Form the New Fraction: $\frac{54}{75} \times \frac{7}{2} = \frac{108}{525}$

Let's Simplify $\frac{108}{525}$

• Find the Greatest Common Divisor (GCD) of $108$ and $525$. The GCD of $108$ and $525$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{108 \div 3}{525 \div 3} = \frac{36}{175}$

Answer $\frac{54}{75}\div\frac{7}{2} = \frac{36}{175}$

The following animation demonstrates the divide-by,