What is 34/46 Divided By 3/7

Solving $\frac{34}{46}\div\frac{3}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{34}{46} \div \frac{3}{7} = \frac{34}{46} \times \frac{7}{3}$

• Multiply the Numerators: $34 \times 7 = 238$
• Multiply the Denominators: $46 \times 3 = 138$
• Form the New Fraction: $\frac{34}{46} \times \frac{3}{7} = \frac{238}{138}$

Let's Simplify $\frac{238}{138}$

• Find the Greatest Common Divisor (GCD) of $238$ and $138$. The GCD of $238$ and $138$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{238 \div 2}{138 \div 2} = \frac{119}{69}$

Answer $\frac{34}{46}\div\frac{3}{7} = \frac{119}{69}$

The following animation demonstrates the divide-by,