# How to Calculate Two Thirds of a Number

by Sky Smith, Demand Media

Fractions generally represent a portion of something. For instance, if 75 percent of 1,000 students passed a math course, then you could say that 75 out of 100, or three-fourths, of every student passed the course. By applying this fraction, three-fourths, to the whole number, 1,000, you can find exactly how many students passed the course. In this case, three-fourths (3/4) equals 0.75, which when multiplied to 1,000 yields 750. Needless to say, converting fractions to decimals is just one of many ways to handle fractions and other numbers.

• Calculator
• Paper
• Pencil

## By Calculator

Step 1

Type in two divided by three and press the equals sign on your calculator. You should receive a decimal similar to 0.666... repeating.

Step 2

Press the multiplication sign and type in the number of interest. For example, if you are finding two-thirds of 100, after you press multiplication sign type in "100." Then press the equals sign.

Step 3

Interpret your result. If you have 66.666... repeating, then you may wish to round this to the tenths place of 66.7. Thus, two-thirds of 100 is approximately 66.7.

## By Hand

Step 1

Divide the number of interest by 3. If you are finding two-thirds of 60, then first divide 60 by 3. You will get the number 20 as your result.

Step 2

Round your result to the tenths place. In some cases, you may get a repeating decimal and it may be easier to use a smaller approximation. For instance, if you divide 250 by 3 you get 83.333... repeating. You may want to use 83.3 as your result instead of the entire decimal.

Step 3

Multiply the result by 2. If you have 20 as your result, then 20 times two is 40. Therefore, two-thirds of 60 is 40.

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#### Tip

• You can also multiply by two first and then divide your result by three, when calculating two-thirds by hand.