What is 0.38325 as a Fraction?
Numbers can be represented in a variety of ways including percentages, decimals, and fractions. The ability to convert any number from one format to another is an important math skill to have. These skills are typically thought in fifth grade math and require an understanding of place values and Greatest Common Factor (GCF).
In this article, we teach those skills step by step while demonstrating how to convert decimal 0.38325 into a fraction.
Answer: 0.38325 as a fraction equals 38325/100000 or 1533/4000
Here is the solution for converting 0.38325 to a fraction.Step 1: First, we write 0.38325 as
Step 2: Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point. Remember the numerator is the top part of the fraction and the denominator is the bottom part!
Step 3: Next, we find the Greatest Common Factor (GCF) for 38325 and 100000. A factor is a number that divides into another number without any remainder.
The factors of 38325 are: 1 3 5 7 15 21 25 35 73 75 105 175 219 365 511 525 1095 1533 1825 2555 5475 7665 12775 38325
The factors of 100000 are: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000
So for 38325 and 100000 that gives us a GCF value of: 25
Step 4: For the last step we reduce the fraction. This just means writing the fraction in the simplest way. To do this we divide both the numerator and denominator by the GCF value we determined in step 3.
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Level of Precision for 0.38325 as a Fraction
The level of precision is the number of digits to round too. Select a lower precision point below to break decimal 0.38325 down further in fraction form. The default precision point is 5. If the last trailing digit is "5", use the "round half up" and "round half down" options to round that digit up or down, when you change the precision point.
For example 0.875 with a precision point of 2 rounded half up = 88/100, rounded half down = 87/100.
= 7665/20000
= 1533/4000
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