Question

i) Simplify
-2/5-(-3/10)- (-4/15)​

Answer 1

Answer:

-2/5-(-3/10)-(-4/15)

-2/5+3/10+4/15

then, the lcm of 5,10,15 = 30

-12+9+8/30

we calculate-12+9+8 = 5

so, 5/30

5/30 = 1/6

Answer 2

The answer after simplifying is 1/6

Step-by-step explanation:

Given:

-2/5-(-3/10)- (-4/15)​

To find:

simplify the given expression

Solution:

The expression will be solved bracket vice

We first simplify the second and third brackets of the expression by following the BODMAS rule

-2/5-(-3/10)- (-4/15)​

Opening the third bracket

$-\frac{2}{5}-(-\frac{3}{10}- \frac{4}{15})$

∴ $\frac{-2}{5} - (\frac{-45-40}{150} )$

Cross multiplying both the brackets

∴ $\frac{-2}{5} - (\frac{-85}{150})$

Opening the leftover bracket

∴ $\frac{-2}{5} + \frac{85}{150}$

Again cross multiplying the values

∴ $\frac{-300+425}{750}$

∴ $\frac{125}{750}$

Dividing the fraction by 125

we get $\frac{1}{6}$

∴ -2/5-(-3/10)- (-4/15)​ = 1/6

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