Finite Math Examples

$| 7 \frac{1}{3} |$

Step 1

Set $| 7 \frac{1}{3} |$ equal to $0$ .

$| 7 \frac{1}{3} | = 0$

Step 2

Solve for $x$ .

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $| 7 \frac{1}{3} |$ .

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Step 2.1.1.1

Convert $7 \frac{1}{3}$ to an improper fraction.

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Step 2.1.1.1.1

A mixed number is an addition of its whole and fractional parts.

$| 7 + \frac{1}{3} | = 0$

Step 2.1.1.1.2

Add $7$ and $\frac{1}{3}$ .

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Step 2.1.1.1.2.1

To write $7$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$| 7 \cdot \frac{3}{3} + \frac{1}{3} | = 0$

Step 2.1.1.1.2.2

Combine $7$ and $\frac{3}{3}$ .

$| \frac{7 \cdot 3}{3} + \frac{1}{3} | = 0$

Step 2.1.1.1.2.3

Combine the numerators over the common denominator.

$| \frac{7 \cdot 3 + 1}{3} | = 0$

Step 2.1.1.1.2.4

Simplify the numerator.

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Step 2.1.1.1.2.4.1

Multiply $7$ by $3$ .

$| \frac{21 + 1}{3} | = 0$

Step 2.1.1.1.2.4.2

Add $21$ and $1$ .

$| \frac{22}{3} | = 0$

Step 2.1.1.2

$\frac{22}{3}$ is approximately $7.\overline{3}$ which is positive so remove the absolute value

$\frac{22}{3} = 0$

Step 2.2

Set the numerator equal to zero.

$22 = 0$

Step 2.3

Since $22 \neq 0$ , there are no solutions.

No solution