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

00:05 Let's solve a problem together!
00:08 Remember, when you see a minus times a minus, it turns into a plus.
00:15 We'll use this idea in our exercise.
00:24 Now, solve step by step. Follow the order of operations, working left to right.
00:35 Reduce the fractions and solve them carefully.
00:45 Great job! That's the solution to the problem.

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}