What is 35/75 Divided By 1/7

Solving $\frac{35}{75}\div\frac{1}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{75} \div \frac{1}{7} = \frac{35}{75} \times \frac{7}{1}$

• Multiply the Numerators: $35 \times 7 = 245$
• Multiply the Denominators: $75 \times 1 = 75$
• Form the New Fraction: $\frac{35}{75} \times \frac{1}{7} = \frac{245}{75}$

Let's Simplify $\frac{245}{75}$

• Find the Greatest Common Divisor (GCD) of $245$ and $75$. The GCD of $245$ and $75$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{245 \div 5}{75 \div 5} = \frac{49}{15}$

Answer $\frac{35}{75}\div\frac{1}{7} = \frac{49}{15}$

The following animation demonstrates the divide-by,