Solve: -1/4 - (-1/8) + 1/6 | Mixed Fraction Operations

Question

14(18)+16= -\frac{1}{4}-(-\frac{1}{8})+\frac{1}{6}=

Video Solution

Solution Steps

00:00 Solve
00:03 Negative times negative is always positive
00:07 Open parentheses
00:22 Multiply by 2 to find common denominator
00:35 This is the fraction
00:45 Multiply to find common denominator
00:56 Calculate the numerator
01:01 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Simplify the double negative in the expression.
  • Step 2: Find a common denominator for the fractions.
  • Step 3: Convert and add/subtract the fractions with the common denominator.

Now, let's work through each step:
Step 1: Simplify (18)-(-\frac{1}{8}) to get 18\frac{1}{8}. Thus, the expression becomes 14+18+16-\frac{1}{4} + \frac{1}{8} + \frac{1}{6}.

Step 2: Find a common denominator for the fractions 14-\frac{1}{4}, 18\frac{1}{8}, and 16\frac{1}{6}.
The denominators are 4, 8, and 6. The least common multiple (LCM) of these numbers is 24.

Step 3: Convert each fraction to have the common denominator of 24:
14=624-\frac{1}{4} = -\frac{6}{24}
18=324\frac{1}{8} = \frac{3}{24}
16=424\frac{1}{6} = \frac{4}{24}

Now, perform the addition and subtraction:
624+324+424=(6+3+4)/24=1/24-\frac{6}{24} + \frac{3}{24} + \frac{4}{24} = \left(-6 + 3 + 4\right)/24 = 1/24.

Therefore, the solution to the problem is 124 \frac{1}{24} .

Answer

124 \frac{1}{24}