What is 42/18 Divided By 7/4

Solving $\frac{42}{18}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{18} \div \frac{7}{4} = \frac{42}{18} \times \frac{4}{7}$

• Multiply the Numerators: $42 \times 4 = 168$
• Multiply the Denominators: $18 \times 7 = 126$
• Form the New Fraction: $\frac{42}{18} \times \frac{7}{4} = \frac{168}{126}$

Let's Simplify $\frac{168}{126}$

• Find the Greatest Common Divisor (GCD) of $168$ and $126$. The GCD of $168$ and $126$ is $42$.
• Divide both the numerator and the denominator by the GCD:$\frac{168 \div 42}{126 \div 42} = \frac{4}{3}$

Answer $\frac{42}{18}\div\frac{7}{4} = \frac{4}{3}$

The following animation demonstrates the divide-by,