Basic Math Examples

2.175

$2.175$

Step 1

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

3

$3$ numbers to the right of the decimal point, place the decimal number over

10^{3}

$10^{3}$

(1000)

$(1000)$ . Next, add the whole number to the left of the decimal.

2 \frac{175}{1000}

$2 \frac{175}{1000}$

Step 2

Reduce the fractional part of the mixed number.

2 \frac{7}{40}

$2 \frac{7}{40}$

Step 3

Convert

2 \frac{7}{40}

$2 \frac{7}{40}$ to an improper fraction.

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Step 3.1

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

2 + \frac{7}{40}

$2 + \frac{7}{40}$

Step 3.2

Add

2

$2$ and

\frac{7}{40}

$\frac{7}{40}$ .

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Step 3.2.1

To write

2

$2$ as a fraction with a common denominator, multiply by

\frac{40}{40}

$\frac{40}{40}$ .

2 \cdot \frac{40}{40} + \frac{7}{40}

$2 \cdot \frac{40}{40} + \frac{7}{40}$

Step 3.2.2

Combine

2

$2$ and

\frac{40}{40}

$\frac{40}{40}$ .

\frac{2 \cdot 40}{40} + \frac{7}{40}

$\frac{2 \cdot 40}{40} + \frac{7}{40}$

Step 3.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 40 + 7}{40}

$\frac{2 \cdot 40 + 7}{40}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

2

$2$ by

40

$40$ .

\frac{80 + 7}{40}

$\frac{80 + 7}{40}$

Step 3.2.4.2

Add

80

$80$ and

7

$7$ .

\frac{87}{40}

$\frac{87}{40}$

\frac{87}{40}

$\frac{87}{40}$

\frac{87}{40}

$\frac{87}{40}$

\frac{87}{40}

$\frac{87}{40}$