find 5/2+-3/2 divided by 1/4-3/2
Answers
Step-by-step explanation:
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Step-by-step explanation:
Divide: 3/
2
: 1/
4
= 3/
2
· 4/
1
= 3 · 4/
2 · 1
= 12/
2
= 2 · 6/
2 · 1
= 6
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 1/
4
is 4/
1
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 2 gives 6/
1
.
In other words - three halfs divided by one quarter = six.
Add: 5/
2
+ the result of step No. 1 = 5/
2
+ 6 = 5/
2
+ 6/
1
= 5/
2
+ 6 · 2/
1 · 2
= 5/
2
+ 12/
2
= 5 + 12/
2
= 17/
2
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, 1) = 2. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 1 = 2. In the following intermediate step, the fraction result cannot be further simplified by canceling.
In other words - five halfs plus six = seventeen halfs.
Subtract: the result of step No. 2 - 3/
2
= 17/
2
- 3/
2
= 17 - 3/
2
= 14/
2
= 2 · 7/
2 · 1
= 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 both denominators - LCM(2, 2) = 2. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 2 = 4. In the following intermediate step, cancel by a common factor of 2 gives 7/
1
.
In other words - seventeen halfs minus three halfs = seven.