Solve the Expression: 87:(12×(35:(2×12))) Using Order of Operations

Let's first look at the expression in parentheses, we'll write it as a fraction:

$(12\times(35:(2\times12)))=$

$12\times\frac{35}{2\times12}$

Now we get the expression:

$87:(12\times\frac{35}{2\times12})$

Let's address the expression in parentheses and move the 12 to the multiplication expression in the numerator:

$87:(\frac{12\times35}{2\times12})$

Let's reduce between the 12 in the numerator and denominator:

$87:(\frac{35}{2})$

Let's solve the fraction expression in parentheses:

$35:2=17.5$

Now we get the expression:

$87:17.5=\frac{87}{17.5}$

Let's multiply both numerator and denominator by 2 to get whole numbers:

$\frac{87\times2}{17.5\times2}=\frac{174}{35}$

Let's convert the 174 in the numerator to a subtraction expression:

$\frac{175-1}{35}=$

Let's separate the fraction into a subtraction of fractions:

$\frac{175}{5}-\frac{1}{35}=5-\frac{1}{35}=4\frac{34}{35}$