What is 46/60 Divided By 7/5

Solving $\frac{46}{60}\div\frac{7}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{46}{60} \div \frac{7}{5} = \frac{46}{60} \times \frac{5}{7}$

• Multiply the Numerators: $46 \times 5 = 230$
• Multiply the Denominators: $60 \times 7 = 420$
• Form the New Fraction: $\frac{46}{60} \times \frac{7}{5} = \frac{230}{420}$

Let's Simplify $\frac{230}{420}$

• Find the Greatest Common Divisor (GCD) of $230$ and $420$. The GCD of $230$ and $420$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{230 \div 10}{420 \div 10} = \frac{23}{42}$

Answer $\frac{46}{60}\div\frac{7}{5} = \frac{23}{42}$

The following animation demonstrates the divide-by,