What is 45/54 Divided By 7/2

Solving $\frac{45}{54}\div\frac{7}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{54} \div \frac{7}{2} = \frac{45}{54} \times \frac{2}{7}$

• Multiply the Numerators: $45 \times 2 = 90$
• Multiply the Denominators: $54 \times 7 = 378$
• Form the New Fraction: $\frac{45}{54} \times \frac{7}{2} = \frac{90}{378}$

Let's Simplify $\frac{90}{378}$

• Find the Greatest Common Divisor (GCD) of $90$ and $378$. The GCD of $90$ and $378$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{90 \div 18}{378 \div 18} = \frac{5}{21}$

Answer $\frac{45}{54}\div\frac{7}{2} = \frac{5}{21}$

The following animation demonstrates the divide-by,