What is 42/11 Divided By 7/4

Solving $\frac{42}{11}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{11} \div \frac{7}{4} = \frac{42}{11} \times \frac{4}{7}$

• Multiply the Numerators: $42 \times 4 = 168$
• Multiply the Denominators: $11 \times 7 = 77$
• Form the New Fraction: $\frac{42}{11} \times \frac{7}{4} = \frac{168}{77}$

Let's Simplify $\frac{168}{77}$

• Find the Greatest Common Divisor (GCD) of $168$ and $77$. The GCD of $168$ and $77$ is $7$.
• Divide both the numerator and the denominator by the GCD:$\frac{168 \div 7}{77 \div 7} = \frac{24}{11}$

Answer $\frac{42}{11}\div\frac{7}{4} = \frac{24}{11}$

The following animation demonstrates the divide-by,