Basic Math Examples

7.38

$7.38$

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{38}{100}

$7 \frac{38}{100}$

Step 2

Reduce the fractional part of the mixed number.

7 \frac{19}{50}

$7 \frac{19}{50}$

Step 3

Convert

7 \frac{19}{50}

$7 \frac{19}{50}$ to an improper fraction.

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Step 3.1

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

7 + \frac{19}{50}

$7 + \frac{19}{50}$

Step 3.2

Add

7

$7$ and

\frac{19}{50}

$\frac{19}{50}$ .

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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{19}{50}

$7 \cdot \frac{50}{50} + \frac{19}{50}$

Step 3.2.2

Combine

7

$7$ and

\frac{50}{50}

$\frac{50}{50}$ .

\frac{7 \cdot 50}{50} + \frac{19}{50}

$\frac{7 \cdot 50}{50} + \frac{19}{50}$

Step 3.2.3

Combine the numerators over the common denominator.

\frac{7 \cdot 50 + 19}{50}

$\frac{7 \cdot 50 + 19}{50}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

7

$7$ by

50

$50$ .

\frac{350 + 19}{50}

$\frac{350 + 19}{50}$

Step 3.2.4.2

Add

350

$350$ and

19

$19$ .

\frac{369}{50}

$\frac{369}{50}$

\frac{369}{50}

$\frac{369}{50}$

\frac{369}{50}

$\frac{369}{50}$

\frac{369}{50}

$\frac{369}{50}$