find the value
3^-1 add 4^-1
Answers
Step-by-step explanation:
Exponentiation: 3 ^ (-1) = 0.333333333333 = 1/
3
Exponentiation: 4 ^ (-1) = 0.25 = 1/
4
Add: the result of step No. 1 + the result of step No. 2 = 1/3
+ 1/4
= 1 · 4/3 · 4
+ 1 · 3/4 · 3
= 4/12 + 3/12
= 4 + 3/12
= 7/12
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 the both denominators - LCM(3, 4) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 4 = 12. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - one third plus one quarter = seven twelfths.