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Write 0.93 repeating as a fraction in simplest form.​

2 Answers

3 votes
93/100 is the answer
User Pasi
by
4.6k points
3 votes

Answer:

31/33

0.93 is a repeating decimal number and you want to convert it to a fraction or mixed number. When you say 0.93 repeating, you could mean that 3 or 93 is repeating.

Thus, there are two different ways of answering "What is 0.93 repeating as a fraction?" Here are the two questions formulated in mathematical terms with the vinculum line above the decimal numbers that are repeating.

0.93 repeating as a fraction

0.93 repeating as a fraction

The formula to convert any repeating decimal number to a fraction is as follows:

(DN x F) - NRP

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.

Below shows you how to get the answer to each of the two different questions above using our formula.

0.93 repeating as a fraction

(0.93 x 10) - 0.9

9

=

8.4

9

=

84

90

Below is the answer in the simplest form possible:

0.93 repeating as a fraction

= 14/15

0.93 repeating as a fraction

(0.93 x 100) - 0

99

=

93

99

Below is the answer in the simplest form possible:

0.93 repeating as a fraction

= 31/33

User Yuriy Kolbasinskiy
by
4.2k points