Solve (12-15÷3×2)/(10÷(2+3)): Order of Operations Challenge

Question

1215:3210:(2+3)= \frac{12-15:3\cdot2}{10:(2+3)}=

Video Solution

Solution Steps

00:00 Solve
00:03 Let's solve numerator and denominator separately
00:07 Always solve multiplication and division before addition and subtraction
00:10 Always solve from left to right
00:15 Always solve parentheses first
00:26 Continue solving multiplication and division first
00:36 And this is the solution to the question

Step-by-Step Solution

We start by solving the exercise in the numerator and then solve the exercise in the denominator.

We know that multiplication and division operations come before addition and subtraction operations, so first we will divide 15:3 and then multiply the result by 2:

15:3=5 15:3=5

125×2=1210=2 12-5\times2=12-10=2

The result of the numerator is 2 and now we will solve the exercise that appears in the denominator.

It is known that according to the rules of the order of operations, the exercise that appears between parentheses goes first, so we first solve the exercise2+3=5 2+3=5

Now, we solve the division exercise:10:5=2 10:5=2

The result we get in the denominator is 2.

Finally, divide the numerator by the denominator:

22=1 \frac{2}{2}=1

Answer

1