Simplify Algebraic Expressions 3

Question 1 of 3

Simplify the expression

(8 \times a) \div (9 \times b)

$(8 xx a) div (9 xx b)$

1. $\frac{a b}{8 \times 9}$ $(ab)/(8xx9)$
2. $\frac{9 a}{8 b}$ $(9a)/(8b)$
3. $\frac{9 b}{8 a}$ $(9b)/(8a)$
4. $\frac{8 a}{9 b}$ $(8a)/(9b)$

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When simplifying an expression, keep the constant at the left side and make sure no variables are repeated.

Work on the values inside the parenthesis first.

Multiplying a constant to a single variable, we can simply remove the multiplication sign.

(8 \times a) \div (9 \times b)

$(8 xx a) div (9 xx b)$

=

$=$

(8 a) \div (9 b)

$(8a) div (9b)$

To simplify further, the divisor can be expressed as the denominator of the expression.

(8 a) \div (9 b)

$(8a) div (9b)$

=

$=$

\frac{8 a}{9 b}

$(8a)/(9b)$

\frac{8 a}{9 b}

$(8a)/(9b)$

Question 2 of 3

Simplify the expression

7 \times b \div (8 + a)

$7 xx b div (8+a)$

1. $\frac{7}{b + a}$ $7/(b+a)$
2. $a \frac{b}{8 + 7}$ $ab/(8+7)$
3. $8 \frac{a}{7 + b}$ $8a/(7+b)$
4. $\frac{7 b}{8 + a}$ $(7b)/(8+a)$

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When simplifying an expression, keep the constant at the left side and make sure no variables are repeated.

Work on the multiplication first.

Multiplying a constant to a single variable, we can simply remove the multiplication sign.

7 \times b \div (8 + a)

$7 xx b div (8+a)$

=

$=$

7 b \div (8 + a)

$7b div (8+a)$

To simplify further, the divisor can be expressed as the denominator of the expression.

7 b \div (8 + a)

$7b div (8+a)$

=

$=$

\frac{7 b}{8 + a}

$(7b)/(8+a)$

\frac{7 b}{8 + a}

$(7b)/(8+a)$

Question 3 of 3

Simplify the expression

(3 \times a + 2) \div (5 \times a - 3)

$(3 xx a+2) div (5 xx a-3)$

1. $\frac{2 a - 3}{3 a + 5}$ $(2a-3)/(3a+5)$
2. $\frac{3 a + 2}{5 a - 3}$ $(3a+2)/(5a-3)$
3. $\frac{3 a - 5}{3 a - 2}$ $(3a-5)/(3a-2)$
4. $\frac{5 a}{8 a}$ $(5a)/(8a)$

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When simplifying an expression, keep the constant at the left side and make sure no variables are repeated.

Work on the values inside the parenthesis first.

Multiplying a constant to a single variable, we can simply remove the multiplication sign.

(3 \times a + 2) \div (5 \times a - 3)

$(3 xx a+2) div (5 xx a-3)$

=

$=$

(3 a + 2) \div (5 a - 3)

$(3a+2) div (5a-3)$

To simplify further, the divisor can be expressed as the denominator of the expression.

(3 a + 2) \div (5 a - 3)

$(3a+2) div (5a-3)$

=

$=$

\frac{3 a + 2}{5 a - 3}

$(3a+2)/(5a-3)$

\frac{3 a + 2}{5 a - 3}

$(3a+2)/(5a-3)$

Simplify Algebraic Expressions 3

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