add the following rational numbers 1/_12 and 2/-15
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Step-by-step explanation:
Since the denominators is negative we need to change to positive by multiplying with −1
−12
1
=
−12×−1
1×−1
=
12
−1
and
−15
2
=
−15×−1
2×−1
=
15
−2
Since it has the different denominator we need to take LCM
LCM of the denominators 12 and 15 is 60
So by multiplying the numerator and denominator by 5 we get,
12
−1
=
12×5
−1×5
=
60
−5
And by multiplying the numerator and denominator by 4 we get,
15
−2
=
15×4
−2×4
=
60
−8
Now we can add the fractions since it has the same denominators
60
−5
+
60
−8
=
60
−5+(−8)
=
60
−5−8
=
60
−13
.
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