We simplify algebraic expressions following the same order of operations as for numeric expressions. That is,
Simplify $\frac{8xy+16xy}{30yz9yz}$8xy+16xy30yz−9yz.
Think: The numerator and denominator count as being inside brackets, so we want to simplify each of them before we simplify the fraction.
Do:
$\frac{8xy+16xy}{30yz9yz}$8xy+16xy30yz−9yz  $=$=  $\frac{24xy}{30yz9yz}$24xy30yz−9yz 
Simplify the addition in the numerator 
$=$=  $\frac{24xy}{21yz}$24xy21yz 
Simplify the subtraction in the denominator 

$=$=  $\frac{8x}{7z}$8x7z 
Simplify the fraction by cancelling the common factor of $3y$3y 
Reflect: The order of operations was the same as for a numerical expression.
We simplify algebraic expressions following the same order of operations as for numeric expressions. That is,
Simplify the expression $2t+4\times8t$2t+4×8t.
Simplify the expression $12u\div32u$12u÷3−2u.
Simplify the expression $\left(13a+15a\right)\div7$(13a+15a)÷7.
operates with positiveinteger and zero indices of numerical bases