Question

solve it:

1/2-1/3+1/4-1/5+1/6-........ = ?


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Answer 1

Step-by-step explanation:

Hi there //

As we all know if we had to +or- fractions so its base has to be equal so

lcm of 2.3.4.5.6=60

1/2×30/30-1/3×20/20+1/4×15/15-1/5×12/12+1/6×10/10

=30-20+15-12+10/60

=23/60

Is the ans

Answer 2

Answer:

=> $\frac{23}{60}$

Step-by-step explanation:

Given that:-

$\frac{1}{2}-\frac{1}{3}+\frac{1}{4}-\frac{1}{5} +\frac{1}{6}$

To find the unknown value of the expression:

By taking LCM of the $2$, $3$, $4$, $5$, $6$:

$=>\frac{1\times 30}{2\times 30}+\frac{-1\times 20}{3\times 20}+\frac{1\times 15}{4\times 15}+\frac{-1\times 12}{5\times 12} +\frac{1\times 10}{6\times 10}$

Now, simplifying it further:

So we will get,

$=>\frac{30}{60}+\frac{-20}{60}+\frac{15}{60}+\frac{-12}{60}+\frac{10}{60}$

Combining all the fractions:-

$=>\frac{30+(-20)+15+(-12)+10}{60}$

Adding all the terms in the brackets,

$=>\frac{30-20+15-12+10}{60}$

$=>\frac{23}{60}$

Hence, the required solution of the expression is $\frac{23}{60}$.