What is 75/54 Divided By 7/6

Solving $\frac{75}{54}\div\frac{7}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{75}{54} \div \frac{7}{6} = \frac{75}{54} \times \frac{6}{7}$

• Multiply the Numerators: $75 \times 6 = 450$
• Multiply the Denominators: $54 \times 7 = 378$
• Form the New Fraction: $\frac{75}{54} \times \frac{7}{6} = \frac{450}{378}$

Let's Simplify $\frac{450}{378}$

• Find the Greatest Common Divisor (GCD) of $450$ and $378$. The GCD of $450$ and $378$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{450 \div 18}{378 \div 18} = \frac{25}{21}$

Answer $\frac{75}{54}\div\frac{7}{6} = \frac{25}{21}$

The following animation demonstrates the divide-by,