Solve 14:2·5:7+12+25: Order of Operations Challenge

Question

14:25:7+12+25=? 14:2\cdot5:7+12+25=\text{?}

Video Solution

Solution Steps

00:00 Solve
00:03 Always solve multiplication and division before addition and subtraction
00:12 Always solve from left to right
00:20 Write division as a fraction
00:24 Reduce what we can
00:30 Always solve the leftmost operation first
00:34 And this is the solution to the question

Step-by-Step Solution

According to the rules for the order of operations, we will isolate the multiplication and division exercises in parentheses:

(14:25:7)+12+25= (14:2\cdot5:7)+12+25=

We solve the exercise in parentheses from left to right:

14:2=7 14:2=7

7×5=35 7\times5=35

35:7=5 35:7=5

Now we obtain the exercise:

5+12+25= 5+12+25=

We solve the exercise from left to right:

5+12=17 5+12=17

17+25=42 17+25=42

Answer

42