Solve Mixed Operations: 6×15-142-7/14+20÷5 Step-by-Step

Question

6×15142714+20 ⁣:5= 6\times15-142-\frac{7}{14}+20\colon5=

Video Solution

Solution Steps

00:01 Multiplication and division come before addition and subtraction
00:15 Addition and subtraction - solve from left to right
00:39 Reduce the fraction

Step-by-Step Solution

According to the order of operations, first we solve the multiplication and division exercises.

We will put them in parentheses to avoid confusion later in the solution:

(6×15)142714+(20:5)= (6\times15)-142-\frac{7}{14}+(20:5)=

We solve the exercises in parentheses:

90142714+4= 90-142-\frac{7}{14}+4=

We will rewrite the denominator of the fraction as a multiplication exercise:

9014277×2+4= 90-142-\frac{7}{7\times2}+4=

We simplify and obtain:

9014212+4= 90-142-\frac{1}{2}+4=

Now we solve the exercise from left to right:

5212+4= -52-\frac{1}{2}+4=

5212+4=4812 -52\frac{1}{2}+4=-48\frac{1}{2}

Answer

-48.5