Solve the Expression: 3+10-2:4+1 Using Order of Operations

Question

$3+10-2:4+1=$

00:00 Multiplication and division come before addition and subtraction, so we'll start with them

00:13 We're left with only addition and subtraction operations

00:17 Addition and subtraction are at the same level, so we'll solve from left to right

00:23 Let's break down the denominator in the fraction into multiplication

00:27 *

00:32 Let's reduce the fraction

00:35 *

00:37 Let's continue solving the addition and subtraction operations from left to right

00:45 And that's the solution!

According to the order of arithmetic operations, multiplication and division precede addition and subtraction,

Therefore, let's start first with the division operation:

$3+10-(2:4)+1=3+10-\frac{1}{2}+1$

Now, as all remaining operations are at the same level (addition and subtraction),

let's start solving from left to right:

$3+10-\frac{1}{2}+1=13-\frac{1}{2}+1$

$13-\frac{1}{2}+1=12\frac{1}{2}+1=13\frac{1}{2}$

$13\frac{1}{2}$