What is 46/48 Divided By 3/8

Solving $\frac{46}{48}\div\frac{3}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{48} \div \frac{3}{8} = \frac{46}{48} \times \frac{8}{3}$

• Multiply the Numerators: $46 \times 8 = 368$
• Multiply the Denominators: $48 \times 3 = 144$
• Form the New Fraction: $\frac{46}{48} \times \frac{3}{8} = \frac{368}{144}$

Let's Simplify $\frac{368}{144}$

• Find the Greatest Common Divisor (GCD) of $368$ and $144$. The GCD of $368$ and $144$ is $16$.
• Divide both the numerator and the denominator by the GCD:$\frac{368 \div 16}{144 \div 16} = \frac{23}{9}$

Answer $\frac{46}{48}\div\frac{3}{8} = \frac{23}{9}$

The following animation demonstrates the divide-by,