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− 8/5 − (− 3/4)
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To subtract a negative number, we can change it to addition and reverse the sign. So,
-8/5 - (-3/4) = -8/5 + 3/4
To add fractions, we need to have a common denominator. The least common multiple of 5 and 4 is 20. So we need to find equivalent fractions with denominator 20.
-8/5 = -32/20
3/4 = 15/20
Now we can add:
-32/20 + 15/20 = -17/20
Therefore,
-8/5 - (-3/4) = -17/20
-8/5 - (-3/4) = -8/5 + 3/4
To add fractions, we need to have a common denominator. The least common multiple of 5 and 4 is 20. So we need to find equivalent fractions with denominator 20.
-8/5 = -32/20
3/4 = 15/20
Now we can add:
-32/20 + 15/20 = -17/20
Therefore,
-8/5 - (-3/4) = -17/20