Algebra Examples

2.34

$2.34$

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.

2 \frac{34}{100}

$2 \frac{34}{100}$

Step 2

Reduce the fractional part of the mixed number.

2 \frac{17}{50}

$2 \frac{17}{50}$

Step 3

Convert

2 \frac{17}{50}

$2 \frac{17}{50}$ 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{17}{50}

$2 + \frac{17}{50}$

Step 3.2

Add

2

$2$ and

\frac{17}{50}

$\frac{17}{50}$ .

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Step 3.2.1

To write

2

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

\frac{50}{50}

$\frac{50}{50}$ .

2 \cdot \frac{50}{50} + \frac{17}{50}

$2 \cdot \frac{50}{50} + \frac{17}{50}$

Step 3.2.2

Combine

2

$2$ and

\frac{50}{50}

$\frac{50}{50}$ .

\frac{2 \cdot 50}{50} + \frac{17}{50}

$\frac{2 \cdot 50}{50} + \frac{17}{50}$

Step 3.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 50 + 17}{50}

$\frac{2 \cdot 50 + 17}{50}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

2

$2$ by

50

$50$ .

\frac{100 + 17}{50}

$\frac{100 + 17}{50}$

Step 3.2.4.2

Add

100

$100$ and

17

$17$ .

\frac{117}{50}

$\frac{117}{50}$

\frac{117}{50}

$\frac{117}{50}$

\frac{117}{50}

$\frac{117}{50}$

\frac{117}{50}

$\frac{117}{50}$