Algebra Examples

3.41

$3.41$

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.

3 \frac{41}{100}

$3 \frac{41}{100}$

Step 2

Convert

3 \frac{41}{100}

$3 \frac{41}{100}$ to an improper fraction.

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Step 2.1

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

3 + \frac{41}{100}

$3 + \frac{41}{100}$

Step 2.2

Add

3

$3$ and

\frac{41}{100}

$\frac{41}{100}$ .

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Step 2.2.1

To write

3

$3$ as a fraction with a common denominator, multiply by

\frac{100}{100}

$\frac{100}{100}$ .

3 \cdot \frac{100}{100} + \frac{41}{100}

$3 \cdot \frac{100}{100} + \frac{41}{100}$

Step 2.2.2

Combine

3

$3$ and

\frac{100}{100}

$\frac{100}{100}$ .

\frac{3 \cdot 100}{100} + \frac{41}{100}

$\frac{3 \cdot 100}{100} + \frac{41}{100}$

Step 2.2.3

Combine the numerators over the common denominator.

\frac{3 \cdot 100 + 41}{100}

$\frac{3 \cdot 100 + 41}{100}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

3

$3$ by

100

$100$ .

\frac{300 + 41}{100}

$\frac{300 + 41}{100}$

Step 2.2.4.2

Add

300

$300$ and

41

$41$ .

\frac{341}{100}

$\frac{341}{100}$

\frac{341}{100}

$\frac{341}{100}$

\frac{341}{100}

$\frac{341}{100}$

\frac{341}{100}

$\frac{341}{100}$

$3.41$

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