What is 46/52 Divided By 7/1

Solving $\frac{46}{52}\div\frac{7}{1}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{52} \div \frac{7}{1} = \frac{46}{52} \times \frac{1}{7}$

• Multiply the Numerators: $46 \times 1 = 46$
• Multiply the Denominators: $52 \times 7 = 364$
• Form the New Fraction: $\frac{46}{52} \times \frac{7}{1} = \frac{46}{364}$

Let's Simplify $\frac{46}{364}$

• Find the Greatest Common Divisor (GCD) of $46$ and $364$. The GCD of $46$ and $364$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{46 \div 2}{364 \div 2} = \frac{23}{182}$

Answer $\frac{46}{52}\div\frac{7}{1} = \frac{23}{182}$

The following animation demonstrates the divide-by,