PercentDecimalFraction
1%0.011/100
5%0.051/20
10%0.11/10
12½%0.1251/8
20%0.21/5
25%0.251/4
331/3%0.333...1/3
50%0.51/2
75%0.753/4
80%0.84/5
90%0.99/10
99%0.9999/100
100%1
125%1.255/4
150%1.53/2
200%2



You are watching: What is 33 1/3 as a decimal

Conversions!

From Percent to Decimal

To convert from percent come decimal division by 100 and remove the % sign.

An easy means to division by 100 is come move the decimal point 2 locations to the left:


From Percent To Decimal
*
relocate the decimal allude 2 areas to the left

Don"t forget to remove the % sign!

From Decimal come PercentTo convert from decimal to percent main point by 100%

An easy method to main point by 100 is to relocate the decimal suggest 2 places to the right:


From Decimal To Percent
*
move the decimal point 2 locations to the right

Don"t forget to include the % sign!

From portion to Decimal

To convert a fraction to a decimal divide the optimal number through the bottom number:


Example: To transform 0.75 come a fraction

StepsExample
First, compose down the decimal "over" the number 1:

0.751

Multiply top and also bottom through 10 for every number after ~ the decimal suggest (10 because that 1 number,100 because that 2 numbers, etc):

0.75 × 1001 × 100

This renders a correctly formed fraction:

75100

Then simplify the fraction:

34


From portion to Percentage

To convert a portion to a portion divide the peak number by the bottom number, climate multiply the result by 100%


Example: convert 38 to a percentage

First division 3 by 8: 3 ÷ 8 = 0.375

Then main point by 100%: 0.375 × 100% = 37.5%

Answer: 38 = 37.5%


From percentage to Fraction

To convert a percent to a fraction, first convert come a decimal (divide through 100), then use the measures for converting decimal to fractions (like above).


Example: To transform 80% to a fraction

StepsExample
Convert 80% come a decimal (=80/100):

0.8

Write under the decimal "over" the number 1:

0.81

Multiply top and bottom by 10 for every number ~ the decimal point (10 for 1 number,100 for 2 numbers, etc):

0.8 × 101 × 10

This renders a correctly formed fraction:

810

Then leveling the fraction:

45




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