Basic Math Examples

$41.688$

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.

$41 \frac{688}{1000}$

Step 2

Reduce the fractional part of the mixed number.

$41 \frac{86}{125}$

Step 3

Convert

$41 \frac{86}{125}$ to an improper fraction.

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Step 3.1

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

$41 + \frac{86}{125}$

Step 3.2

Add

$41$ and

$\frac{86}{125}$ .

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Step 3.2.1

To write

$41$ as a fraction with a common denominator, multiply by

$\frac{125}{125}$ .

$41 \cdot \frac{125}{125} + \frac{86}{125}$

Step 3.2.2

Combine

$41$ and

$\frac{125}{125}$ .

$\frac{41 \cdot 125}{125} + \frac{86}{125}$

Step 3.2.3

Combine the numerators over the common denominator.

$\frac{41 \cdot 125 + 86}{125}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

$41$ by

$125$ .

$\frac{5125 + 86}{125}$

Step 3.2.4.2

Add

$5125$ and

$86$ .

$\frac{5211}{125}$