Basic Math Examples

$7.875$

Step 1

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

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

$10^{3}$

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

$7 \frac{875}{1000}$

Step 2

Reduce the fractional part of the mixed number.

$7 \frac{7}{8}$

Step 3

Convert

$7 \frac{7}{8}$ to an improper fraction.

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Step 3.1

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

$7 + \frac{7}{8}$

Step 3.2

Add

$7$ and

$\frac{7}{8}$ .

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Step 3.2.1

To write

$7$ as a fraction with a common denominator, multiply by

$\frac{8}{8}$ .

$7 \cdot \frac{8}{8} + \frac{7}{8}$

Step 3.2.2

Combine

$7$ and

$\frac{8}{8}$ .

$\frac{7 \cdot 8}{8} + \frac{7}{8}$

Step 3.2.3

Combine the numerators over the common denominator.

$\frac{7 \cdot 8 + 7}{8}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

$7$ by

$8$ .

$\frac{56 + 7}{8}$

Step 3.2.4.2

Add

$56$ and

$7$ .

$\frac{63}{8}$