What is 34/42 Divided By 1/7

Solving $\frac{34}{42}\div\frac{1}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{42} \div \frac{1}{7} = \frac{34}{42} \times \frac{7}{1}$

• Multiply the Numerators: $34 \times 7 = 238$
• Multiply the Denominators: $42 \times 1 = 42$
• Form the New Fraction: $\frac{34}{42} \times \frac{1}{7} = \frac{238}{42}$

Let's Simplify $\frac{238}{42}$

• Find the Greatest Common Divisor (GCD) of $238$ and $42$. The GCD of $238$ and $42$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{238 \div 14}{42 \div 14} = \frac{17}{3}$

Answer $\frac{34}{42}\div\frac{1}{7} = \frac{17}{3}$

The following animation demonstrates the divide-by,