Finite Math Examples

$7 \frac{4}{9} - 3 \frac{1}{8}$

Step 1

Set $7 \frac{4}{9} - 3 \frac{1}{8}$ equal to $0$ .

$7 \frac{4}{9} - 3 \frac{1}{8} = 0$

Step 2

Solve for $x$ .

Tap for more steps...

Step 2.1

Simplify the left side.

Tap for more steps...

Step 2.1.1

Simplify $7 \frac{4}{9} - 3 \frac{1}{8}$ .

Tap for more steps...

Step 2.1.1.1

Convert $7 \frac{4}{9}$ to an improper fraction.

Tap for more steps...

Step 2.1.1.1.1

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

$7 + \frac{4}{9} - 3 \frac{1}{8} = 0$

Step 2.1.1.1.2

Add $7$ and $\frac{4}{9}$ .

Tap for more steps...

Step 2.1.1.1.2.1

To write $7$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$7 \cdot \frac{9}{9} + \frac{4}{9} - 3 \frac{1}{8} = 0$

Step 2.1.1.1.2.2

Combine $7$ and $\frac{9}{9}$ .

$\frac{7 \cdot 9}{9} + \frac{4}{9} - 3 \frac{1}{8} = 0$

Step 2.1.1.1.2.3

Combine the numerators over the common denominator.

$\frac{7 \cdot 9 + 4}{9} - 3 \frac{1}{8} = 0$

Step 2.1.1.1.2.4

Simplify the numerator.

Tap for more steps...

Step 2.1.1.1.2.4.1

Multiply $7$ by $9$ .

$\frac{63 + 4}{9} - 3 \frac{1}{8} = 0$

Step 2.1.1.1.2.4.2

Add $63$ and $4$ .

$\frac{67}{9} - 3 \frac{1}{8} = 0$

Step 2.1.1.2

Convert $3 \frac{1}{8}$ to an improper fraction.

Tap for more steps...

Step 2.1.1.2.1

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

$\frac{67}{9} - (3 + \frac{1}{8}) = 0$

Step 2.1.1.2.2

Add $3$ and $\frac{1}{8}$ .

Tap for more steps...

Step 2.1.1.2.2.1

To write $3$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$\frac{67}{9} - (3 \cdot \frac{8}{8} + \frac{1}{8}) = 0$

Step 2.1.1.2.2.2

Combine $3$ and $\frac{8}{8}$ .

$\frac{67}{9} - (\frac{3 \cdot 8}{8} + \frac{1}{8}) = 0$

Step 2.1.1.2.2.3

Combine the numerators over the common denominator.

$\frac{67}{9} - \frac{3 \cdot 8 + 1}{8} = 0$

Step 2.1.1.2.2.4

Simplify the numerator.

Tap for more steps...

Step 2.1.1.2.2.4.1

Multiply $3$ by $8$ .

$\frac{67}{9} - \frac{24 + 1}{8} = 0$

Step 2.1.1.2.2.4.2

Add $24$ and $1$ .

$\frac{67}{9} - \frac{25}{8} = 0$

Step 2.1.1.3

To write $\frac{67}{9}$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$\frac{67}{9} \cdot \frac{8}{8} - \frac{25}{8} = 0$

Step 2.1.1.4

To write $- \frac{25}{8}$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$\frac{67}{9} \cdot \frac{8}{8} - \frac{25}{8} \cdot \frac{9}{9} = 0$

Step 2.1.1.5

Write each expression with a common denominator of $72$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 2.1.1.5.1

Multiply $\frac{67}{9}$ by $\frac{8}{8}$ .

$\frac{67 \cdot 8}{9 \cdot 8} - \frac{25}{8} \cdot \frac{9}{9} = 0$

Step 2.1.1.5.2

Multiply $9$ by $8$ .

$\frac{67 \cdot 8}{72} - \frac{25}{8} \cdot \frac{9}{9} = 0$

Step 2.1.1.5.3

Multiply $\frac{25}{8}$ by $\frac{9}{9}$ .

$\frac{67 \cdot 8}{72} - \frac{25 \cdot 9}{8 \cdot 9} = 0$

Step 2.1.1.5.4

Multiply $8$ by $9$ .

$\frac{67 \cdot 8}{72} - \frac{25 \cdot 9}{72} = 0$

Step 2.1.1.6

Combine the numerators over the common denominator.

$\frac{67 \cdot 8 - 25 \cdot 9}{72} = 0$

Step 2.1.1.7

Simplify the numerator.

Tap for more steps...

Step 2.1.1.7.1

Multiply $67$ by $8$ .

$\frac{536 - 25 \cdot 9}{72} = 0$

Step 2.1.1.7.2

Multiply $- 25$ by $9$ .

$\frac{536 - 225}{72} = 0$

Step 2.1.1.7.3

Subtract $225$ from $536$ .

$\frac{311}{72} = 0$

Step 2.2

Set the numerator equal to zero.

$311 = 0$

Step 2.3

Since $311 \neq 0$ , there are no solutions.

No solution