Basic Math Examples

- 7.14

$- 7.14$

Step 1

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are

2

$2$ numbers to the right of the decimal point, place the decimal number over

10^{2}

$10^{2}$

(100)

$(100)$ . Next, add the whole number to the left of the decimal.

- 7 \frac{14}{100}

$- 7 \frac{14}{100}$

Step 2

Reduce the fractional part of the mixed number.

- 7 \frac{7}{50}

$- 7 \frac{7}{50}$

Step 3

Convert

7 \frac{7}{50}

$7 \frac{7}{50}$ to an improper fraction.

Tap for more steps...

Step 3.1

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

- (7 + \frac{7}{50})

$- (7 + \frac{7}{50})$

Step 3.2

Add

7

$7$ and

\frac{7}{50}

$\frac{7}{50}$ .

Tap for more steps...

Step 3.2.1

To write

7

$7$ as a fraction with a common denominator, multiply by

\frac{50}{50}

$\frac{50}{50}$ .

- (7 \cdot \frac{50}{50} + \frac{7}{50})

$- (7 \cdot \frac{50}{50} + \frac{7}{50})$

Step 3.2.2

Combine

7

$7$ and

\frac{50}{50}

$\frac{50}{50}$ .

- (\frac{7 \cdot 50}{50} + \frac{7}{50})

$- (\frac{7 \cdot 50}{50} + \frac{7}{50})$

Step 3.2.3

Combine the numerators over the common denominator.

- \frac{7 \cdot 50 + 7}{50}

$- \frac{7 \cdot 50 + 7}{50}$

Step 3.2.4

Simplify the numerator.

Tap for more steps...

Step 3.2.4.1

Multiply

7

$7$ by

50

$50$ .

- \frac{350 + 7}{50}

$- \frac{350 + 7}{50}$

Step 3.2.4.2

Add

350

$350$ and

7

$7$ .

- \frac{357}{50}

$- \frac{357}{50}$

- \frac{357}{50}

$- \frac{357}{50}$

- \frac{357}{50}

$- \frac{357}{50}$

- \frac{357}{50}

$- \frac{357}{50}$