Question

Simplify 3/8+ 7/2+ -3/5 +9/8+-3/2+6/5

Answer 1

Let the LCM be 40 ok
3×5/8×5+7×20/2×20-3×8/5×80+9×5/8×5-3×20/2×20+6×8/5×8
15+140-24+45-60+48/40
=164/40
=41/10

Answer 2

Concept

In order to add fractions, their denominators must be equal to each other

Given

3/8+ 7/2+ -3/5 +9/8+-3/2+6/5

Find

We have to simplify the given equation

Solution

We have,

3/8+ 7/2+ -3/5 +9/8+-3/2+6/5

We need to make the denominators of all the terms equal

thus, we take the LCM of 8, 2 and 5 which comes out to be 40

Thus, we make all the terms in the denominator equal to 40

15/40 + 140/40 - 24/40 + 45/40 - 60/40 + 48/40

or (15+140-24+45-60+48)/40

= 164/ 40

= 41/ 10

or 4.1

Thus, 3/8+ 7/2+ -3/5 +9/8+-3/2+6/5 is equal to 41/10 or 4.1

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