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

$6\times15-142-\frac{7}{14}+20\colon5=$

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:

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

We solve the exercises in parentheses:

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

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

$90-142-\frac{7}{7\times2}+4=$

We simplify and obtain:

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

Now we solve the exercise from left to right:

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

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