Finite Math Examples

$40 \div 1 + 3 - (3 \cdot 7) + 7 - 5$

Step 1

Find the common denominator.

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Step 1.1

Write $3$ as a fraction with denominator $1$ .

$40 \div 1 + \frac{3}{1} - (3 \cdot 7) + 7 - 5$

Step 1.2

Multiply $\frac{3}{1}$ by $\frac{1}{1}$ .

$40 \div 1 + \frac{3}{1} \cdot \frac{1}{1} - (3 \cdot 7) + 7 - 5$

Step 1.3

Multiply $\frac{3}{1}$ by $\frac{1}{1}$ .

$40 \div 1 + \frac{3}{1} - (3 \cdot 7) + 7 - 5$

Step 1.4

Write $- (3 \cdot 7)$ as a fraction with denominator $1$ .

$40 \div 1 + \frac{3}{1} + \frac{- (3 \cdot 7)}{1} + 7 - 5$

Step 1.5

Multiply $\frac{- (3 \cdot 7)}{1}$ by $\frac{1}{1}$ .

$40 \div 1 + \frac{3}{1} + \frac{- (3 \cdot 7)}{1} \cdot \frac{1}{1} + 7 - 5$

Step 1.6

Multiply $\frac{- (3 \cdot 7)}{1}$ by $\frac{1}{1}$ .

$40 \div 1 + \frac{3}{1} + \frac{- (3 \cdot 7)}{1} + 7 - 5$

Step 1.7

Write $7$ as a fraction with denominator $1$ .

$40 \div 1 + \frac{3}{1} + \frac{- (3 \cdot 7)}{1} + \frac{7}{1} - 5$

Step 1.8

Multiply $\frac{7}{1}$ by $\frac{1}{1}$ .

$40 \div 1 + \frac{3}{1} + \frac{- (3 \cdot 7)}{1} + \frac{7}{1} \cdot \frac{1}{1} - 5$

Step 1.9

Multiply $\frac{7}{1}$ by $\frac{1}{1}$ .

$40 \div 1 + \frac{3}{1} + \frac{- (3 \cdot 7)}{1} + \frac{7}{1} - 5$

Step 1.10

Write $- 5$ as a fraction with denominator $1$ .

$40 \div 1 + \frac{3}{1} + \frac{- (3 \cdot 7)}{1} + \frac{7}{1} + \frac{- 5}{1}$

Step 1.11

Multiply $\frac{- 5}{1}$ by $\frac{1}{1}$ .

$40 \div 1 + \frac{3}{1} + \frac{- (3 \cdot 7)}{1} + \frac{7}{1} + \frac{- 5}{1} \cdot \frac{1}{1}$

Step 1.12

Multiply $\frac{- 5}{1}$ by $\frac{1}{1}$ .

$40 \div 1 + \frac{3}{1} + \frac{- (3 \cdot 7)}{1} + \frac{7}{1} + \frac{- 5}{1}$

Step 2

Combine the numerators over the common denominator.

$\frac{40 + 3 - (3 \cdot 7) + 7 - 5}{1}$

Step 3

Multiply $- (3 \cdot 7)$ .

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Step 3.1

Multiply $3$ by $7$ .

$\frac{40 + 3 - 1 \cdot 21 + 7 - 5}{1}$

Step 3.2

Multiply $- 1$ by $21$ .

$\frac{40 + 3 - 21 + 7 - 5}{1}$

Step 4

Add $40$ and $3$ .

$\frac{43 - 21 + 7 - 5}{1}$

Step 5

Subtract $21$ from $43$ .

$\frac{22 + 7 - 5}{1}$

Step 6

Add $22$ and $7$ .

$\frac{29 - 5}{1}$

Step 7

Subtract $5$ from $29$ .

$\frac{24}{1}$

Step 8

Divide $24$ by $1$ .

$24$