What is 46/42 Divided By 4/7

Solving $\frac{46}{42}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{42} \div \frac{4}{7} = \frac{46}{42} \times \frac{7}{4}$

• Multiply the Numerators: $46 \times 7 = 322$
• Multiply the Denominators: $42 \times 4 = 168$
• Form the New Fraction: $\frac{46}{42} \times \frac{4}{7} = \frac{322}{168}$

Let's Simplify $\frac{322}{168}$

• Find the Greatest Common Divisor (GCD) of $322$ and $168$. The GCD of $322$ and $168$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{322 \div 14}{168 \div 14} = \frac{23}{12}$

Answer $\frac{46}{42}\div\frac{4}{7} = \frac{23}{12}$

The following animation demonstrates the divide-by,