Basic Math Examples

2.9375

$2.9375$

Step 1

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

4

$4$ numbers to the right of the decimal point, place the decimal number over

10^{4}

$10^{4}$

(10000)

$(10000)$ . Next, add the whole number to the left of the decimal.

2 \frac{9375}{10000}

$2 \frac{9375}{10000}$

Step 2

Reduce the fractional part of the mixed number.

2 \frac{15}{16}

$2 \frac{15}{16}$

Step 3

Convert

2 \frac{15}{16}

$2 \frac{15}{16}$ 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{15}{16}

$2 + \frac{15}{16}$

Step 3.2

Add

2

$2$ and

\frac{15}{16}

$\frac{15}{16}$ .

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Step 3.2.1

To write

2

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

\frac{16}{16}

$\frac{16}{16}$ .

2 \cdot \frac{16}{16} + \frac{15}{16}

$2 \cdot \frac{16}{16} + \frac{15}{16}$

Step 3.2.2

Combine

2

$2$ and

\frac{16}{16}

$\frac{16}{16}$ .

\frac{2 \cdot 16}{16} + \frac{15}{16}

$\frac{2 \cdot 16}{16} + \frac{15}{16}$

Step 3.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 16 + 15}{16}

$\frac{2 \cdot 16 + 15}{16}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

2

$2$ by

16

$16$ .

\frac{32 + 15}{16}

$\frac{32 + 15}{16}$

Step 3.2.4.2

Add

32

$32$ and

15

$15$ .

\frac{47}{16}

$\frac{47}{16}$

\frac{47}{16}

$\frac{47}{16}$

\frac{47}{16}

$\frac{47}{16}$

\frac{47}{16}

$\frac{47}{16}$