What is 98/26 Divided By 1/7

Solving $\frac{98}{26}\div\frac{1}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{98}{26} \div \frac{1}{7} = \frac{98}{26} \times \frac{7}{1}$

• Multiply the Numerators: $98 \times 7 = 686$
• Multiply the Denominators: $26 \times 1 = 26$
• Form the New Fraction: $\frac{98}{26} \times \frac{1}{7} = \frac{686}{26}$

Let's Simplify $\frac{686}{26}$

• Find the Greatest Common Divisor (GCD) of $686$ and $26$. The GCD of $686$ and $26$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{686 \div 2}{26 \div 2} = \frac{343}{13}$

Answer $\frac{98}{26}\div\frac{1}{7} = \frac{343}{13}$

The following animation demonstrates the divide-by,