Q. Simplify. Express your answer as a single fraction in simplest form. 9st5+6s
Identify Common Denominator: Identify the common denominator for the fractions.Since 6s is not a fraction, we can write it as a fraction with a denominator of 1, so we have 9st5 and 16s. To combine these, we need a common denominator. The least common denominator (LCD) between 9st and 1 is 9st.
Rewrite Whole Number: Rewrite the whole number as a fraction with the common denominator.We rewrite 6s as a fraction with the denominator 9st: (6s×9st)/(1×9st)=54s2t/9st.
Combine Fractions: Combine the fractions.Now we have two fractions with the same denominator, so we can combine them: (9st5)+(9st54s2t)=9st5+54s2t.
Simplify Numerator: Simplify the numerator if possible.In this case, the numerator 5+54s2t cannot be simplified further because 5 and 54s2t are not like terms.
Write Final Answer: Write the final answer.The expression is already simplified as a single fraction: (5+54s2t)/9st.
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