What is 34/42 Divided By 3/7

Solving $\frac{34}{42}\div\frac{3}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{42} \div \frac{3}{7} = \frac{34}{42} \times \frac{7}{3}$

• Multiply the Numerators: $34 \times 7 = 238$
• Multiply the Denominators: $42 \times 3 = 126$
• Form the New Fraction: $\frac{34}{42} \times \frac{3}{7} = \frac{238}{126}$

Let's Simplify $\frac{238}{126}$

• Find the Greatest Common Divisor (GCD) of $238$ and $126$. The GCD of $238$ and $126$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{238 \div 14}{126 \div 14} = \frac{17}{9}$

Answer $\frac{34}{42}\div\frac{3}{7} = \frac{17}{9}$

The following animation demonstrates the divide-by,