Answer:
1/2 + 2/3 + 5/4 = 29/ 12 = 2 5/ 12 ≅ 2.4166667
Explanation:
Add: 1/ 2 + 2/ 3 = 1 · 3/ 2 · 3 + 2 · 2/ 3 · 2 = 3/ 6 + 4/ 6 = 3 + 4/ 6 = 7/ 6
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(2, 3) = 6. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 3 = 6. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - one half plus two thirds = seven sixths.
Add: the result of step No. 1 + 5/ 4 = 7/ 6 + 5/ 4 = 7 · 2/ 6 · 2 + 5 · 3/ 4 · 3 = 14/ 12 + 15/ 12 = 14 + 15/ 12 = 29/ 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 both denominators - LCM(6, 4) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 6 × 4 = 24. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - seven sixths plus five quarters = twenty-nine twelfths.
hope it helps...
correct me if I'm wrong...