Solve: 10 - (4/2 + 3/2) Order of Operations with Fractions

Question

10(42+32)= 10-(\frac{4}{2}+\frac{3}{2})=

Video Solution

Solution Steps

00:00 Solve
00:03 When opening parentheses, minus times plus always equals minus
00:09 Let's use this formula in our exercise
00:14 Let's solve according to the order of operations from left to right
00:20 Let's convert from fraction to number, and substitute in our exercise
00:29 Let's convert from fraction to number, and substitute in our exercise
00:33 And this is the solution to the question

Step-by-Step Solution

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

  • Step 1: Evaluate the expression inside the parentheses.
  • Step 2: Subtract the result from 10.

Now, let's work through each step:
Step 1: Inside the parentheses, we have 42+32 \frac{4}{2} + \frac{3}{2} . First, simplify 42 \frac{4}{2} to 2 and 32 \frac{3}{2} remains as 32\frac{3}{2}.
The sum is 2+32=42+32=72 2 + \frac{3}{2} = \frac{4}{2} + \frac{3}{2} = \frac{7}{2} .
Step 2: Now, subtract 72\frac{7}{2} from 10.
Express 10 as a fraction: 20272=132 \frac{20}{2} - \frac{7}{2} = \frac{13}{2} .
Convert the fraction back to a mixed number: 132=612 \frac{13}{2} = 6\frac{1}{2} .

Therefore, the solution to the problem is 612 6\frac{1}{2} .

Answer

612 6\frac{1}{2}