Solve Mixed Number Equation: 3¼ - (½ - ½) with Order of Operations

Question

324(36510)= 3\frac{2}{4}-(\frac{3}{6}-\frac{5}{10})=

Video Solution

Solution Steps

00:00 Solve
00:03 When opening parentheses, minus times minus always equals plus
00:10 We will use this formula in our exercise
00:19 We will solve according to the order of operations from left to right
00:30 We will reduce the fractions and solve
00:40 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 fractions inside the parentheses.
  • Step 2: Perform the arithmetic operation inside the parentheses.
  • Step 3: Subtract this result from the mixed number.

Now, let's work through each step:
Step 1: Simplify the fractions: 36=12\frac{3}{6} = \frac{1}{2} and 510=12\frac{5}{10} = \frac{1}{2}.
Step 2: Perform arithmetic inside the parentheses: 1212=0 \frac{1}{2} - \frac{1}{2} = 0.
Step 3: Subtract 00 from 3243\frac{2}{4}. First, convert 3243\frac{2}{4} to a simpler form: 324=3123\frac{2}{4} = 3\frac{1}{2}. Therefore, 3120=3123\frac{1}{2} - 0 = 3\frac{1}{2} .

Therefore, the solution to the problem is 312 3\frac{1}{2} .

Answer

312 3\frac{1}{2}