Answer:
19/20 and 7/33
Step-by-step explanation:
0.21 is a repeating decimal number and you want to convert it to a fraction or mixed number. When you say 0.21 repeating, you could mean that 1 or 21 is repeating.
Thus, there are two different ways of answering "What is 0.21 repeating as a fraction?" Here are the two questions formulated in mathematical terms with the vinculum line above the decimal numbers that are repeating.
0.21 repeating as a fraction
0.21 repeating as a fraction
The formula to convert any repeating decimal number to a fraction is as follows:
(DN x F) - NRP
D
DN = Decimal Number
F = 10 if one repeating number, 100 if two repeating numbers, 1000 if three repeating numbers, etc.
NRP = Non-repeating part of decimal number.
D = 9 if one repeating number, 99 if two repeating numbers, 999 if three repeating numbers, etc.
Below shows you how to get the answer to each of the two different questions above using our formula.
0.21 repeating as a fraction
(0.21 x 10) - 0.2
9
=
1.9
9
=
19
90
Below is the answer in the simplest form possible:
0.21 repeating as a fraction
= 19/90
0.21 repeating as a fraction
(0.21 x 100) - 0
99
=
21
99
Below is the answer in the simplest form possible:
0.21 repeating as a fraction
= 7/33
