Simplify -8/5+(4/-3)+1/3
Answers
Answer:
-13/5
Step-by-step explanation:
-8/5-1
= -8-5/5
=-13/5
8/5 + (4/-3) + 1/3 = 3/
5
= 0.6
Spelled result in words is three fifths.
How do you solve fractions step by step?
Divide: 4 / (-3) = -1.33333333333 = -4/
3
Add: 8/
5
+ the result of step No. 1 = 8/
5
+ (-4/
3
) = 8 · 3/
5 · 3
+ (-4) · 5/
3 · 5
= 24/
15
+ (-20/
15
) = 24 + (-20)/
15
= 4/
15
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(5, 3) = 15. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 3 = 15. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - eight fifths plus minus four thirds = four fifteenths.
Add: the result of step No. 2 + 1/
3
= 4/
15
+ 1/
3
= 4/
15
+ 1 · 5/
3 · 5
= 4/
15
+ 5/
15
= 4 + 5/
15
= 9/
15
= 3 · 3/
3 · 5
= 3/
5
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(15, 3) = 15. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 15 × 3 = 45. In the next intermediate step, , cancel by a common factor of 3 gives 3/
5
.
In words - four fifteenths plus one third = three fifths.