What is 42/54 Divided By 7/4

Solving $\frac{42}{54}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{54} \div \frac{7}{4} = \frac{42}{54} \times \frac{4}{7}$

• Multiply the Numerators: $42 \times 4 = 168$
• Multiply the Denominators: $54 \times 7 = 378$
• Form the New Fraction: $\frac{42}{54} \times \frac{7}{4} = \frac{168}{378}$

Let's Simplify $\frac{168}{378}$

• Find the Greatest Common Divisor (GCD) of $168$ and $378$. The GCD of $168$ and $378$ is $42$.
• Divide both the numerator and the denominator by the GCD:$\frac{168 \div 42}{378 \div 42} = \frac{4}{9}$

Answer $\frac{42}{54}\div\frac{7}{4} = \frac{4}{9}$

The following animation demonstrates the divide-by,