.93 repeating as a Fraction in Simplest Form
Introduction
Repeating decimals can be a bit tricky to work with, but they can be converted into fractions in simplest form. In this article, we'll explore how to convert the repeating decimal .93 into a fraction in its simplest form.
What is a Repeating Decimal?
A repeating decimal is a decimal that has a sequence of digits that repeats indefinitely. In the case of .93, the sequence "93" repeats indefinitely, making it a repeating decimal.
Converting .93 into a Fraction
To convert .93 into a fraction, we can use the following steps:
Step 1: Write the decimal as a fraction with a denominator of 100
.93 = 93/100
Step 2: Simplify the fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of 93 and 100.
The GCD of 93 and 100 is 1, so the fraction is already in its simplest form.
.93 as a Fraction in Simplest Form
Therefore, .93 as a fraction in simplest form is:
93/100
This is the simplest form of the fraction, and it's equivalent to the original repeating decimal .93.
Conclusion
In this article, we've seen how to convert the repeating decimal .93 into a fraction in its simplest form. By following the steps outlined above, you can convert any repeating decimal into a fraction in simplest form.
