simplify the following 2/3+1/2
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Step-by-step explanation:
Subtract: 2/
3
- 1/
2
= 2 · 2/
3 · 2
- 1 · 3/
2 · 3
= 4/
6
- 3/
6
= 4 - 3/
6
= 1/
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(3, 2) = 6. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 2 = 6. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - two thirds minus one half = one sixth.
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