0.32 Repeating As A Fraction In Simplest Form

0.32 Repeating As A Fraction In Simplest Form, 0.32 repeating is a decimal that goes on forever without repeating the same pattern. It is also, General, 0-32-repeating-as-a-fraction-in-simplest-form, JPOSE

0.32 repeating is a decimal that goes on forever without repeating the same pattern. It is also known as a recurring decimal. To convert 0.32 repeating to a fraction, we can use the following steps:

Step 1: Let x be equal to 0.32 repeating.

Step 2: Multiply both sides of the equation by 100 to get rid of the decimal point. We get:

100x = 32.32 repeating

Step 3: Subtract x from 100x to eliminate the repeating part of the decimal. We get:

100x - x = 32.32 repeating - 0.32 repeating
99x = 32
x = 32/99

Therefore, 0.32 repeating as a fraction in simplest form is 32/99. To simplify this fraction, we can find the greatest common factor (GCF) of 32 and 99, which is 1. Then, we divide both the numerator and denominator by the GCF to get:

32/99 = (32 ÷ 1)/(99 ÷ 1) = 32/99

So, the simplest form of 0.32 repeating as a fraction is 32/99. This fraction cannot be simplified any further because 32 and 99 have no common factors other than 1.

In conclusion, 0.32 repeating can be converted to a fraction by using the steps mentioned above. The resulting fraction in simplest form is 32/99. It is important to note that recurring decimals can always be converted to fractions, and this is a useful skill in many mathematical applications.