What is 46/42 Divided By 2/7

Solving $\frac{46}{42}\div\frac{2}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{42} \div \frac{2}{7} = \frac{46}{42} \times \frac{7}{2}$

• Multiply the Numerators: $46 \times 7 = 322$
• Multiply the Denominators: $42 \times 2 = 84$
• Form the New Fraction: $\frac{46}{42} \times \frac{2}{7} = \frac{322}{84}$

Let's Simplify $\frac{322}{84}$

• Find the Greatest Common Divisor (GCD) of $322$ and $84$. The GCD of $322$ and $84$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{322 \div 14}{84 \div 14} = \frac{23}{6}$

Answer $\frac{46}{42}\div\frac{2}{7} = \frac{23}{6}$

The following animation demonstrates the divide-by,