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5.02 Adding and subtracting rational expressions

Interactive practice questions

Find the least common denominator for this pair of algebraic fractions:

$\frac{s}{3}$s3 and $\frac{s}{9}$s9

Easy
< 1min

Find the least common denominator for this pair of algebraic fractions:

$\frac{a}{2}$a2 and $\frac{b}{3}$b3

Easy
< 1min

In an upcoming election, it is anticipated that the number of men who vote, $x$x, will be greater than the number of women who vote, $y$y.

Each expression below represents the expected number of people who will NOT vote in two different counties.

Easy
< 1min

Find the least common denominator for this pair of algebraic fractions:

$\frac{1}{18h}$118h and $\frac{1}{9h}$19h

Easy
< 1min
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Outcomes

A.SSE.1

Interpret expressions that represent a quantity in terms of its context.

A.SSE.1.a

Interpret parts of an expression, such as terms, factors, and coefficients.

A.SSE.1.b

Interpret complicated expressions by viewing one or more of their parts as a single entity.

A.SSE.2

Use the structure of an expression to identify ways to rewrite it. For example, to factor 3x(x − 5) + 2(x − 5), students should recognize that the "x − 5" is common to both expressions being added, so it simplifies to (3x + 2)(x − 5); or see x^4 − y^4 as (x2)^2 − (y2)^2, thus recognizing it as a difference of squares that can be factored as (x^2 − y^2)(x^2 + y^2).

A.APR.7

Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.

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