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

Question

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

00:00 Multiplication and division take precedence over addition and subtraction

00:13 Only addition and subtraction operations remain

00:17 Addition and subtraction are at the same level according to the order of operations hierarchy thus we'll solve from left to right

00:23 Break down the denominator in the fraction into multiplication

00:32 Reduce the fraction

00:37 Continue to solve the addition and subtraction operations from left to right

00:45 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:

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

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

$13\frac{1}{2}$