What is 42/17 Divided By 4/7

Solving $\frac{42}{17}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{42}{17} \div \frac{4}{7} = \frac{42}{17} \times \frac{7}{4}$

• Multiply the Numerators: $42 \times 7 = 294$
• Multiply the Denominators: $17 \times 4 = 68$
• Form the New Fraction: $\frac{42}{17} \times \frac{4}{7} = \frac{294}{68}$

Let's Simplify $\frac{294}{68}$

• Find the Greatest Common Divisor (GCD) of $294$ and $68$. The GCD of $294$ and $68$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{294 \div 2}{68 \div 2} = \frac{147}{34}$

Answer $\frac{42}{17}\div\frac{4}{7} = \frac{147}{34}$

The following animation demonstrates the divide-by,