Solve: (18/6) - (-1/4) | Mixed Fraction Operations

Question

(+186)(14)= (+\frac{18}{6})-(-\frac{1}{4})=

Video Solution

Step-by-Step Solution

To solve this problem, we will follow these steps:

  • Simplify the given expression (+186)(+\frac{18}{6}).
  • Recognize that subtracting a negative fraction, ((14))(-(-\frac{1}{4})), is equivalent to adding its positive counterpart.
  • Perform the addition to find the final result.

Now, let's work through each step:

Step 1: Simplify the expression 186\frac{18}{6}.

Divide 18 by 6:

186=3\frac{18}{6} = 3

Step 2: Recognize the operation with the negative fraction:

Subtracting a negative is equivalent to adding a positive:

(3(14))=3+14(3 - (-\frac{1}{4})) = 3 + \frac{1}{4}

Step 3: Perform the addition:

Convert 3 to a fraction with a common denominator of 4:

3=1243 = \frac{12}{4}

Add the fractions:

124+14=134\frac{12}{4} + \frac{1}{4} = \frac{13}{4}

Step 4: Convert the fraction 134\frac{13}{4} to a decimal:

134=3.25\frac{13}{4} = 3.25

Therefore, the solution to the problem is 3.25\mathbf{3.25}.

Answer

3.25 3.25