Q. Simplify. Express your answer as a single fraction in simplest form. 7u−32
Identify Parts to Combine: Identify the parts of the expression that need to be combined into a single fraction. The expression is 7u−32. Here, 7u is a whole number term and −32 is already a fraction. To combine them into a single fraction, we need to express 7u with a common denominator of 3.
Convert Whole Number to Fraction: Convert the whole number term 7u into a fraction with the same denominator as −32. To do this, we multiply 7u by 33, which is equivalent to 1, to get the common denominator of 3. 7u×(33)=37u×3
Rewrite with Common Denominator: Rewrite the expression with the common denominator.Now we have (7u×3)/3−2/3. Since both terms have the same denominator, we can combine them.
Combine Numerators: Combine the numerators over the common denominator.(7u×3−2)/3=(21u−2)/3
Check for Further Simplification: Check if the fraction can be simplified further.The fraction (21u−2)/3 is already in simplest form because the numerator and the denominator have no common factors other than 1.
More problems from Simplify mixed rational expressions