Question

what should be added to 1/2+1/3-1/5 to get 3​

Answer 1

☆☆ HEYA BUDDY HERE IS YOUR ANSWER ☆☆

Answer:

$if \: 2.37 \: is \: added \: to \: \frac{1}{2} + \frac{1}{3} - \frac{1}{5} then \: we \: get \: 3$

Given:

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

Solution:-

common denominator should be present in order to add the fraction.The number in the bottom must be same. "Least common multiple" of 3,2 and 5 is 30.

since 3,2 and 5 are prime numbers.

The L.C.M is

$2 \times 3 \times 5 = 30$

Now, the bottom of the answer should be 30, just by multiplying unit fraction.

so, the solution derivation will be

In that the added number will be considered as "x".

Step-by-step explanation:

$\frac{1}{2} + \frac{1}{3} - \frac{1}{5} + x = 3$

$(( \frac{1}{3} )\times ( \frac{10}{10} )) + (( \frac{1}{2} ) \times ( \frac{15}{15} )) - (( \frac{1}{5} \times (\frac{6}{6}) + ( \frac{30x}{30}) = 3$

$= > \frac{10}{30} + \frac{15}{30} - \frac{6}{30} + \frac{30x}{30} = 3$

$=> \frac{19 + 30x}{30} = 3$

$=> 19 + 30x = 3 \times 30$

$=> 30x = 90 - 19$

$x = \frac{17}{30}$

$x = 2.37$

HOPE YOU UNDERSTAND☃️

@FOLLOW MÈ ❤❤