26. \\( \\frac { 2 \\cdot 3 \\cdot 5 \\cdot 7 } { 2 \\cdot 5 } \\)
26. \\( \\frac { 2 \\cdot 3 \\cdot 5 \\cdot 7 } { 2 \\cdot 5 } \\)
Answer
Explanation:
Step1: Simplify the fraction
According to the rule of fraction simplification (\frac{ab}{ac}=\frac{b}{c}(a\neq0)). In the fraction (\frac{2\cdot3\cdot5\cdot7}{2\cdot5}), we can cancel out the common factors (2) and (5) in the numerator and the denominator. [ \frac{2\cdot3\cdot5\cdot7}{2\cdot5}=\frac{\cancel{2}\cdot3\cdot\cancel{5}\cdot7}{\cancel{2}\cdot\cancel{5}} ]
Step2: Calculate the result
After canceling out the common factors, we are left with (3\times7). [ 3\times7 = 21 ]
Answer:
(21)