What is 46/75 Divided By 7/5

Solving $\frac{46}{75}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{75} \div \frac{7}{5} = \frac{46}{75} \times \frac{5}{7}$

• Multiply the Numerators: $46 \times 5 = 230$
• Multiply the Denominators: $75 \times 7 = 525$
• Form the New Fraction: $\frac{46}{75} \times \frac{7}{5} = \frac{230}{525}$

Let's Simplify $\frac{230}{525}$

• Find the Greatest Common Divisor (GCD) of $230$ and $525$. The GCD of $230$ and $525$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{230 \div 5}{525 \div 5} = \frac{46}{105}$

Answer $\frac{46}{75}\div\frac{7}{5} = \frac{46}{105}$

The following animation demonstrates the divide-by,