What is 45/54 Divided By 7/6

Solving $\frac{45}{54}\div\frac{7}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{54} \div \frac{7}{6} = \frac{45}{54} \times \frac{6}{7}$

• Multiply the Numerators: $45 \times 6 = 270$
• Multiply the Denominators: $54 \times 7 = 378$
• Form the New Fraction: $\frac{45}{54} \times \frac{7}{6} = \frac{270}{378}$

Let's Simplify $\frac{270}{378}$

• Find the Greatest Common Divisor (GCD) of $270$ and $378$. The GCD of $270$ and $378$ is $54$.
• Divide both the numerator and the denominator by the GCD:$\frac{270 \div 54}{378 \div 54} = \frac{5}{7}$

Answer $\frac{45}{54}\div\frac{7}{6} = \frac{5}{7}$

The following animation demonstrates the divide-by,