What is 35/60 Divided By 1/7

Solving $\frac{35}{60}\div\frac{1}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{60} \div \frac{1}{7} = \frac{35}{60} \times \frac{7}{1}$

• Multiply the Numerators: $35 \times 7 = 245$
• Multiply the Denominators: $60 \times 1 = 60$
• Form the New Fraction: $\frac{35}{60} \times \frac{1}{7} = \frac{245}{60}$

Let's Simplify $\frac{245}{60}$

• Find the Greatest Common Divisor (GCD) of $245$ and $60$. The GCD of $245$ and $60$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{245 \div 5}{60 \div 5} = \frac{49}{12}$

Answer $\frac{35}{60}\div\frac{1}{7} = \frac{49}{12}$

The following animation demonstrates the divide-by,