What is 22/26 Divided By 1/7

Solving $\frac{22}{26}\div\frac{1}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{26} \div \frac{1}{7} = \frac{22}{26} \times \frac{7}{1}$

• Multiply the Numerators: $22 \times 7 = 154$
• Multiply the Denominators: $26 \times 1 = 26$
• Form the New Fraction: $\frac{22}{26} \times \frac{1}{7} = \frac{154}{26}$

Let's Simplify $\frac{154}{26}$

• Find the Greatest Common Divisor (GCD) of $154$ and $26$. The GCD of $154$ and $26$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{154 \div 2}{26 \div 2} = \frac{77}{13}$

Answer $\frac{22}{26}\div\frac{1}{7} = \frac{77}{13}$

The following animation demonstrates the divide-by,