Algebra Examples

$\frac{3}{7} r + \frac{5}{8} s$ when $r = 14$ and $s = 8$

Step 1

Replace the variable $r$ with $14$ in the expression.

$\frac{3}{7} \cdot (14) + \frac{5}{8} s$

Step 2

Replace the variable $s$ with $8$ in the expression.

$\frac{3}{7} \cdot (14) + \frac{5}{8} \cdot (8)$

Step 3

Simplify each term.

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Step 3.1

Cancel the common factor of $7$ .

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Step 3.1.1

Factor $7$ out of $14$ .

$\frac{3}{7} \cdot (7 (2)) + \frac{5}{8} \cdot (8)$

Step 3.1.2

Cancel the common factor.

$\frac{3}{7} \cdot (7 \cdot 2) + \frac{5}{8} \cdot (8)$

Step 3.1.3

Rewrite the expression.

$3 \cdot 2 + \frac{5}{8} \cdot (8)$

Step 3.2

Multiply $3$ by $2$ .

$6 + \frac{5}{8} \cdot (8)$

Step 3.3

Cancel the common factor of $8$ .

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Step 3.3.1

Cancel the common factor.

$6 + \frac{5}{8} \cdot 8$

Step 3.3.2

Rewrite the expression.

$6 + 5$

Step 4

Add $6$ and $5$ .

$11$