What is 35/45 Divided By 1/7

Solving $\frac{35}{45}\div\frac{1}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{35}{45} \div \frac{1}{7} = \frac{35}{45} \times \frac{7}{1}$

• Multiply the Numerators: $35 \times 7 = 245$
• Multiply the Denominators: $45 \times 1 = 45$
• Form the New Fraction: $\frac{35}{45} \times \frac{1}{7} = \frac{245}{45}$

Let's Simplify $\frac{245}{45}$

• Find the Greatest Common Divisor (GCD) of $245$ and $45$. The GCD of $245$ and $45$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{245 \div 5}{45 \div 5} = \frac{49}{9}$

Answer $\frac{35}{45}\div\frac{1}{7} = \frac{49}{9}$

The following animation demonstrates the divide-by,