What is 28/48 Divided By 1/7

Solving $\frac{28}{48}\div\frac{1}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{28}{48} \div \frac{1}{7} = \frac{28}{48} \times \frac{7}{1}$

• Multiply the Numerators: $28 \times 7 = 196$
• Multiply the Denominators: $48 \times 1 = 48$
• Form the New Fraction: $\frac{28}{48} \times \frac{1}{7} = \frac{196}{48}$

Let's Simplify $\frac{196}{48}$

• Find the Greatest Common Divisor (GCD) of $196$ and $48$. The GCD of $196$ and $48$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{196 \div 4}{48 \div 4} = \frac{49}{12}$

Answer $\frac{28}{48}\div\frac{1}{7} = \frac{49}{12}$

The following animation demonstrates the divide-by,