What is 26/43 Divided By 6/7

Solving $\frac{26}{43}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{26}{43} \div \frac{6}{7} = \frac{26}{43} \times \frac{7}{6}$

• Multiply the Numerators: $26 \times 7 = 182$
• Multiply the Denominators: $43 \times 6 = 258$
• Form the New Fraction: $\frac{26}{43} \times \frac{6}{7} = \frac{182}{258}$

Let's Simplify $\frac{182}{258}$

• Find the Greatest Common Divisor (GCD) of $182$ and $258$. The GCD of $182$ and $258$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{182 \div 2}{258 \div 2} = \frac{91}{129}$

Answer $\frac{26}{43}\div\frac{6}{7} = \frac{91}{129}$

The following animation demonstrates the divide-by,