What is 74/46 Divided By 2/7

Solving $\frac{74}{46}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{46} \div \frac{2}{7} = \frac{74}{46} \times \frac{7}{2}$

• Multiply the Numerators: $74 \times 7 = 518$
• Multiply the Denominators: $46 \times 2 = 92$
• Form the New Fraction: $\frac{74}{46} \times \frac{2}{7} = \frac{518}{92}$

Let's Simplify $\frac{518}{92}$

• Find the Greatest Common Divisor (GCD) of $518$ and $92$. The GCD of $518$ and $92$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{518 \div 2}{92 \div 2} = \frac{259}{46}$

Answer $\frac{74}{46}\div\frac{2}{7} = \frac{259}{46}$

The following animation demonstrates the divide-by,