Solve 3 + (3/3 × 2/3) - 2: Mixed Operations Practice

Question

$3+\frac{3}{3}\times\frac{2}{3}-2=$

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

00:06 When adding fractions, multiply numerator by numerator and denominator by denominator

00:11 The common factor in numerator and denominator can be reduced

00:18 Addition and subtraction are at the same level, so we solve from left to right

00:25 We're left with a simple subtraction problem

00:28 And that's the solution!

According to the rules of the order of arithmetic operations, we first place the multiplication exercise inside of parentheses:

$3+(\frac{3}{3}\times\frac{2}{3})-2=$

We then solve the exercise in the parentheses, combining the multiplication into a single exercise:

$(\frac{3}{3}\times\frac{2}{3})=\frac{3\times2}{3\times3}=\frac{6}{9}=\frac{2}{3}$

We obtain the following exercise:

$3+\frac{2}{3}-2=$

Lastly we solve the exercise from left to right:

$3+\frac{2}{3}=3\frac{2}{3}$

$3\frac{2}{3}-2=1\frac{2}{3}$

$1\frac{2}{3}$