What is 35/60 Divided By 6/7

Solving $\frac{35}{60}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{60} \div \frac{6}{7} = \frac{35}{60} \times \frac{7}{6}$

• Multiply the Numerators: $35 \times 7 = 245$
• Multiply the Denominators: $60 \times 6 = 360$
• Form the New Fraction: $\frac{35}{60} \times \frac{6}{7} = \frac{245}{360}$

Let's Simplify $\frac{245}{360}$

• Find the Greatest Common Divisor (GCD) of $245$ and $360$. The GCD of $245$ and $360$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{245 \div 5}{360 \div 5} = \frac{49}{72}$

Answer $\frac{35}{60}\div\frac{6}{7} = \frac{49}{72}$

The following animation demonstrates the divide-by,