simplify by using property:-3/8+7/15+3/-20+-9/20+13/15+13/-20
Answers
Answer:
2.66
Step-by-step explanation:
3/8+7/15+3/-20-9/20+13/15+13/-20
=(3/8+7/15+13/15)+(3/20-9/20-13/20)
=(45+56+104\120)- 3-9-13/20
(205/120)-(-19/20)=205/120+19/20
=205+114/120=319/120=2.66
Answer:
The simplified value is -7/24.
Step-by-step explanation:
Given : -3/8 + 7/15 +3/-20 +-9/20 +13/15 + 13/-20.
To find : simplify using suitable properties.
Solution: first we will arrange the given fractions together with common denominators.
-3 + 7 + 3 + 9 + 13 + 13 = -3 + 7 + 13 + 3 + -9 + 13
8 15 -20 20 15 -20 8 15 15 -20 20 -20
= -3 + 7 + 13 - 3 - 9 - 13( we change the sign).
8 15 15 20 20 20
= -3 + 7 + 13 - [ 3 + 9 + 13 ]
8 15 15 20 20 20
= -3 + 20 - 25
8 15 20
(after grouping , we added the terms with same denominator.)
= -3 + 4 - 5
8 3 4
= -3 + 4× 4 + -5×3 (simplifying the last two terms)
8 3×4
= -3 + 16 - 15
8 12
= -3 + 1
8 12
= -3×12 +1×8
8×12
= -36 + 8
96
= -28 = -7/24
96
Therefore, the required simplified value is -7/24.
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