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

Question

3+33×232= 3+\frac{3}{3}\times\frac{2}{3}-2=

Video Solution

Solution Steps

00:10 Remember, multiply and divide come first before adding and subtracting.
00:16 When adding fractions, multiply top with top, and bottom with bottom.
00:21 You can reduce by finding common factors in the numerator and denominator.
00:28 Addition and subtraction are equal. Solve them from left to right.
00:35 Now, we're left with an easy subtraction.
00:39 And that's the solution!

Step-by-Step Solution

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

3+(33×23)2= 3+(\frac{3}{3}\times\frac{2}{3})-2=

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

(33×23)=3×23×3=69=23 (\frac{3}{3}\times\frac{2}{3})=\frac{3\times2}{3\times3}=\frac{6}{9}=\frac{2}{3}

We obtain the following exercise:

3+232= 3+\frac{2}{3}-2=

Lastly we solve the exercise from left to right:

3+23=323 3+\frac{2}{3}=3\frac{2}{3}

3232=123 3\frac{2}{3}-2=1\frac{2}{3}

Answer

123 1\frac{2}{3}