Final answer:
To convert the repeating decimal 0.93 into a fraction, use the concept of infinite geometric series. The fraction equivalent, when reduced to lowest terms, is 1/3.
Step-by-step explanation:
To convert the repeating decimal 0.93 into a fraction, you can use the concept of infinite geometric series. Let's call the repeating part of the decimal 'x'. We can write 0.93 as the sum of the non-repeating part (0.9) and the repeating part (0.03x). This can be represented as:
0.93 = 0.9 + 0.03x
Multiplying both sides by 100 to get rid of the decimal:
93 = 90 + 3x
Now, solving for 'x':
x = (93 - 90)/3 = 1/3
Therefore, the fraction equivalent to 0.93 when reduced to lowest terms is 1/3.
Learn more about Converting repeating decimals to fractions