Question

simplify 3/4+1/5-2/3​

Answer 1

Answer:

15/60

Step-by-step explanation:

3/4+1/5-2/3​ [we should find the LCM of the denominators. We should start by adding the highlighted part.]    

                                                                       LCM of 4 and 5 =20

= 3 x 5/4 x 5+1 x 4/5 x 4-2/3 [We should see by how much the denominators can go to get 20 and multiply with the same number.]

= 15/20+4/20-2/3 [Simply add the numerators and the denominator will remain the same]

= 19/20-2/3 [we should find the LCM of the denominators]

                                                                     LCM OF 20 AND 3= 60

= 19 x 3/ 20 x 3 - 2 x 20/ 3 x 20[We should see by how much the denominators can go to get 60 and multiply with the same number.]

= 57/60-40/60 [Simply subtract the numerators and the denominator will remain the same.]

= 17/60 [Therefore this is the answer.]

HOPE IT HELPS YA!!

Answer 2

Answer:

=> 0.283

Step-by-step explanation:

As per the given data, we have to find the value of the expression.

Given data:-

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

To find:- the value of the expression.

First, we need to find the least common denominator,

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

Now, multiply the denominators,

$=>\frac{3\times 15}{60} +\frac{1\times 12}{60} +\frac{-2\times 20}{60}$

Multiplying the numerators,

$=>\frac{45}{60} +\frac{12}{60} +\frac{-40}{60}$

By combining the fractions,

$=>\frac{45+12+(-40)}{60}$

$=>\frac{17}{60}$

In decimal form, it is written as  

=> $0.283$

Hence, the value will be 0.283.