What is 26/42 Divided By 5/8

Solving $\frac{26}{42}\div\frac{5}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{26}{42} \div \frac{5}{8} = \frac{26}{42} \times \frac{8}{5}$

• Multiply the Numerators: $26 \times 8 = 208$
• Multiply the Denominators: $42 \times 5 = 210$
• Form the New Fraction: $\frac{26}{42} \times \frac{5}{8} = \frac{208}{210}$

Let's Simplify $\frac{208}{210}$

• Find the Greatest Common Divisor (GCD) of $208$ and $210$. The GCD of $208$ and $210$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{208 \div 2}{210 \div 2} = \frac{104}{105}$

Answer $\frac{26}{42}\div\frac{5}{8} = \frac{104}{105}$

The following animation demonstrates the divide-by,