Q. Simplify. Express your answer as a single fraction in simplest form. 9st2+2
Identify Terms, Denominator: Identify the like terms and the common denominator.In the expression 9st2+2, the first term is already a fraction, but the second term is a whole number. To combine these, we need a common denominator. The denominator for the first term is 9st, so we will use this for the second term as well.
Convert Whole Number to Fraction: Convert the whole number to a fraction with the common denominator.To convert the whole number 2 to a fraction with the denominator 9st, we multiply both the numerator and the denominator by 9st:2×9st9st=9st18st
Combine Fractions: Combine the fractions.Now we have two fractions with the same denominator, so we can combine them:(9st2)+(9st18st)=9st2+18st
Simplify Numerator: Simplify the numerator.The numerator 2+18st cannot be simplified further because 2 and 18st are not like terms.
Check for Common Factors: Check for any common factors in the numerator and denominator that can be canceled.There are no common factors between 2+18st and 9st that can be canceled, so the fraction is already in its simplest form.
More problems from Simplify mixed rational expressions