What is 26/70 Divided By 6/7

Solving $\frac{26}{70}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{26}{70} \div \frac{6}{7} = \frac{26}{70} \times \frac{7}{6}$

• Multiply the Numerators: $26 \times 7 = 182$
• Multiply the Denominators: $70 \times 6 = 420$
• Form the New Fraction: $\frac{26}{70} \times \frac{6}{7} = \frac{182}{420}$

Let's Simplify $\frac{182}{420}$

• Find the Greatest Common Divisor (GCD) of $182$ and $420$. The GCD of $182$ and $420$ is $14$.
• Divide both the numerator and the denominator by the GCD:$\frac{182 \div 14}{420 \div 14} = \frac{13}{30}$

Answer $\frac{26}{70}\div\frac{6}{7} = \frac{13}{30}$

The following animation demonstrates the divide-by,