Question
Subtract. State the difference in simplest form
9/4m - 4/9n
9/4m - 4/9n
Answers
GPT 3.5
To subtract 9/4m - 4/9n, we need to find a common denominator for the two fractions. The least common denominator for 4 and 9 is 36.
So, we rewrite the fractions with a denominator of 36:
9/4m = 81/36m
4/9n = 16/36n
Now we can subtract the fractions:
81/36m - 16/36n = 65/36m - 16/36n = (65m - 16n) / 36
Therefore, the difference between 9/4m and 4/9n is (65m - 16n) / 36.
So, we rewrite the fractions with a denominator of 36:
9/4m = 81/36m
4/9n = 16/36n
Now we can subtract the fractions:
81/36m - 16/36n = 65/36m - 16/36n = (65m - 16n) / 36
Therefore, the difference between 9/4m and 4/9n is (65m - 16n) / 36.