Solve 1−2/7 − 2−3/8 = 3/2 + /4
Answers
Step-by-step explanation:
Subtract: 1 - 2
7
= 1
1
- 2
7
= 1 · 7
1 · 7
- 2
7
= 7
7
- 2
7
= 7 - 2
7
= 5
7
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(1, 7) = 7. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 7 = 7. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - one minus two sevenths = five sevenths.
Subtract: the result of step No. 1 - 2 = 5
7
- 2 = 5
7
- 2
1
= 5
7
- 2 · 7
1 · 7
= 5
7
- 14
7
= 5 - 14
7
= -9
7
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(7, 1) = 7. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 7 × 1 = 7. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - five sevenths minus two = minus nine sevenths.
Subtract: the result of step No. 2 - 3
8
= -9
7
- 3
8
= -9 · 8
7 · 8
- 3 · 7
8 · 7
= -72
56
- 21
56
= -72 - 21
56
= -93
56
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(7, 8) = 56. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 7 × 8 = 56. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - minus nine sevenths minus three eighths = minus ninety-three fifty-sixths.
Add: 3
2
+ 1
4
= 3 · 2
2 · 2
+ 1
4
= 6
4
+ 1
4
= 6 + 1
4
= 7
4
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(2, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 4 = 8. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - three halfs plus one quarter = seven quarters.
Compare: the result of step No. 3 = the result of step No. 4 = -93
56
= 7
4
= -93
56
vs 7
4
= -93
56
vs 7 · 14
4 · 14
= -93
56
vs 98
56
= -93 vs 98 = No
Answer:
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