Question

the value of 1 + 1/3 + 4/3 + 1/8 + 1/24 + 4/24​

Answer 1

Answer:

1 + 1/3 + 4/3 + 1/8 + 1/24 + 4/24=3

Step-by-step explanation:

1 + 1/3 + 4/3 + 1/8 + 1/24 + 4/24

The above given fractions are unlike fractions so we take lcm.

Lcm for 1,3,8,24

2(1,3,8,24)

2(1,3,4,12)

2(1,3,2,6)

3(1,3,1,3)

(1,1,1,1)

Lcm=2×2×2×3=24

1/1×24/24=24\24

1/3×8/8=8/24

4/3×8/8=32/24

1/8×3/3=3/24

1/24×1/1=1/24

4/24×1/1=4/24

Now,

24/24+8/24+32/24+3/24+1/24+4/24=72/24

72/24=36/12

36/12=3

Hope it helps

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