0.037 Repeating as a Fraction
In this article, we will explore how to convert the repeating decimal 0.037 into a fraction.
What is a Repeating Decimal?
A repeating decimal is a decimal number that has a sequence of digits that repeats infinite times. In the case of 0.037, the sequence "037" repeats indefinitely.
Converting 0.037 to a Fraction
To convert 0.037 to a fraction, we can use the following steps:
Step 1: Let x = 0.037
Let x be equal to 0.037.
Step 2: Multiply x by 1000
Multiply both sides of the equation by 1000 to get:
1000x = 37.037
Step 3: Subtract x from both sides
Subtract x from both sides of the equation to get:
999x = 37
Step 4: Divide both sides by 999
Divide both sides of the equation by 999 to get:
x = 37/999
Therefore, the fraction equivalent of the repeating decimal 0.037 is 37/999.
Conclusion
In this article, we have successfully converted the repeating decimal 0.037 to a fraction, which is 37/999. This conversion is useful in various mathematical applications, such as algebra, calculus, and geometry.
