Question

(4/9-2/6)+(2/6-1/12)=

Answer 1

(4/9 - 2/6) + (2/6 - 1/12) = 1/9 + 1/4 = 13/36

Answer 2

To solve the expression (4/9 - 2/6) + (2/6 - 1/12), we can simplify each fraction separately and then perform the addition.

First, let's simplify the fractions:

4/9 = (4 * 2) / (9 * 2) = 8/18

2/6 = (2 * 2) / (6 * 2) = 4/12

1/12 remains the same.

Now we can rewrite the expression with the simplified fractions:

(8/18 - 4/12) + (4/12 - 1/12)

Next, let's find a common denominator for each set of fractions:

For the first set, the denominators are 18 and 12. The least common multiple (LCM) of 18 and 12 is 36.

So we multiply both the numerator and denominator of 8/18 by 2 to get the fraction with a denominator of 36:

8/18 = (8 * 2) / (18 * 2) = 16/36

Similarly, we multiply both the numerator and denominator of 4/12 by 3 to get the fraction with a denominator of 36:

4/12 = (4 * 3) / (12 * 3) = 12/36

Now the expression becomes:

(16/36 - 12/36) + (4/12 - 1/12)

The denominators are now the same for each set of fractions, so we can combine them:

(16/36 - 12/36) + (4/36 - 1/36)

Now we can subtract the fractions:

16/36 - 12/36 = (16 - 12) / 36 = 4/36

4/36 - 1/36 = (4 - 1) / 36 = 3/36

Now we can simplify the final fraction:

3/36 = (3 * 1) / (36 * 1) = 3/36 = 1/12

Therefore, the result of the expression (4/9 - 2/6) + (2/6 - 1/12) is 1/12.