What is 42/17 Divided By 3/4

Solving $\frac{42}{17}\div\frac{3}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{17} \div \frac{3}{4} = \frac{42}{17} \times \frac{4}{3}$

• Multiply the Numerators: $42 \times 4 = 168$
• Multiply the Denominators: $17 \times 3 = 51$
• Form the New Fraction: $\frac{42}{17} \times \frac{3}{4} = \frac{168}{51}$

Let's Simplify $\frac{168}{51}$

• Find the Greatest Common Divisor (GCD) of $168$ and $51$. The GCD of $168$ and $51$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{168 \div 3}{51 \div 3} = \frac{56}{17}$

Answer $\frac{42}{17}\div\frac{3}{4} = \frac{56}{17}$

The following animation demonstrates the divide-by,