What is 54/18 Divided By 5/7

Solving $\frac{54}{18}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{18} \div \frac{5}{7} = \frac{54}{18} \times \frac{7}{5}$

• Multiply the Numerators: $54 \times 7 = 378$
• Multiply the Denominators: $18 \times 5 = 90$
• Form the New Fraction: $\frac{54}{18} \times \frac{5}{7} = \frac{378}{90}$

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

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

Answer $\frac{54}{18}\div\frac{5}{7} = \frac{21}{5}$

The following animation demonstrates the divide-by,