simplify 11/12-(1/3+1/4)
11/12-(1/3+1/4) =
11/12 - 1/3 - 1/4 =
get a common denominator which is 12.
11/12 - 4/12 - 3/12 =
Add the numerators to obtain
11-4-3 = 4 so the answer is
4/12 which reduces to 1/3
Check my work.
Write all fractions with a common denominator, than add or subtract numerators.
11/12 - 4/12 - 3/12 = -4/12 = -1/3
+1/3 ??
duh yes 1/3
To simplify the expression 11/12 - (1/3 + 1/4), you need to:
1. Simplify the expressions within the parentheses first.
- Add the fractions 1/3 and 1/4.
The common denominator for 3 and 4 is 12,
so 1/3 becomes 4/12, and 1/4 becomes 3/12.
Therefore, 1/3 + 1/4 = 4/12 + 3/12 = 7/12.
2. Now, substitute the simplified expression back into the original expression.
11/12 - 7/12
3. Subtract the numerators and keep the same denominator.
11 - 7 = 4.
4. Write the simplified answer as a fraction.
4/12.
5. Reduce the fraction to its simplest form, if possible.
Both the numerator and denominator are divisible by 4, so divide both by 4,
which results in 1/3.
Therefore, 11/12 - (1/3 + 1/4) simplifies to 1/3.