Numbers can be represented in a variety of ways including percentages, decimals, and fractions. The ability to convert any number from one format to another is an important math skill to have. These skills are typically thought in fifth grade math and require an understanding of place values and Greatest Common Factor (GCF).
In this article, we teach those skills step by step while demonstrating how to convert decimal 0.97724 into a fraction.
Step 2: Next we multiply both the numerator and denominator by 10 for each digit after the decimal point.
Step 3: To reduce the fraction, we find the Greatest Common Factor (GCF) for 97724 and 100000. Keep in mind a factor is just a number that divides into another number without any remainder.
Step 4: For the last step we reduce the fraction. To do this we divide both the numerator and denominator by the GCF value we calculated in step 3.
The level of precision are the number of digits to round to. Select a lower precision point below to break decimal 0.97724 down further in fraction form. The default precision point is 5. If the last trailing digit is "5", use the "round half up" and "round half down" options to round that digit up or down, when you change the precision point.
For example 0.875 with a precision point of 2 rounded half up = 88/100, rounded half down = 87/100.
0.97724 = 0
A mixed number is made up of a whole number and a proper fraction part. Whole numbers have no fractional or decimal part. For proper fractions the numerator (the top number) is less than the denominator (the bottom number). In this case the whole number value is empty and the proper fraction value is
Not all decimals can be converted into a fraction. There are 3 basic types which include:
Terminating decimals have a limited number of digits after the decimal point.
Examples: 93.93 = 93 93/100 , 153.580 = 153 580/1000 , 6819.8579 = 6819 8579/10000
Recurring decimals have one or more repeating numbers after the decimal point which continue on infinitely.
Example: 8143.3333 = 8143 3333/10000 = 333/1000 = 33/100 = 1/3 (rounded)
Irrational decimals go on forever and never form a repeating pattern. This type of decimal cannot be expressed as a fraction.
Example: 0.891471330 ...
Click any decimal to see it as a fraction:
Click a number to convert as fraction: