Solve: (27-5×3)÷(6×2) + (15×4)÷3 | Order of Operations Challenge

Question

Complete the following exercise:

275362+1543= \frac{27-5\cdot3}{6\cdot2}+\frac{15\cdot4}{3}=

Video Solution

Step-by-Step Solution

According to the order of arithmetic operations, first we place the multiplication exercises within parentheses:

27(53)(62)+(154)3= \frac{27-(5\cdot3)}{(6\cdot2)}+\frac{(15\cdot4)}{3}=

We then solve the exercises within parentheses:

5×3=15 5\times3=15

6×2=12 6\times2=12

15×4=60 15\times4=60

Now we obtain the exercise:

271512+603= \frac{27-15}{12}+\frac{60}{3}=

We solve the numerator of the fraction:

2715=12 27-15=12

We obtain:

1212+603= \frac{12}{12}+\frac{60}{3}=

We solve the fractions:

1212=1 \frac{12}{12}=1

60:3=20 60:3=20

Finally we obtain the exercise:

1+20=21 1+20=21

Answer

21