Problem: What is 4(2\3)+2(1\4)-1(2\9) simplified.
What is 4(2\3)+2(1\4)-1(2\9) simplified?
4(2/3) + 2(1/4) - 1(2/9)
8/3 + 2/4 - 2/9
We need a common denominator for the fractions.
Use the factors of the current denominators.
3 2 * 2 3 * 3
We can disregard the first 3, because it is included
in the factors of 9
2 * 2 3 * 3
Multiply them: 2 * 2 * 3 * 3 = 36
Now, we change all the fractions so they are equivalent
values in 36ths.
8/3 * 12/12 = 96/36
2/4 * 9/9 = 18/36
2/9 * 4/4 = 8/36
Those are the fractions we add (or subtract).
96/36 + 18/36 - 8/36
106/36
2 34/36
2 17/18
Answer: 4(2/3) + 2(1/4) - 1(2/9) = 2 17/18