Answer: 0.3100 as a fraction is 31/100
Converting the decimal number 0.3100 into a fraction might seem tricky at first, but with the right steps, it's straightforward. This guide will walk you through the entire process, ensuring you understand each part of the conversion.
The decimal 0.3100 can be broken down as:
0.3100 = 0 + 0.31
Here, 0 is the whole number part, and 0.31 is the decimal part.
Focus on converting the decimal part, 0.31, to a fraction. To do this, consider the place value of the decimal:
0.31 =
31
100
Now, simplify the fraction 31/100. To do this, find the greatest common divisor (GCD) of 31 and 100.
Now, divide both the numerator and the denominator by their GCD:
31 ÷ 1
100 ÷ 1
=
31
100
So, 0.31 as a fraction is 31/100
Now that you have 0.3100 = 0 + 0.31, express the entire number as a mixed fraction:
0.3100
= 0 +
31
100
=
0
100
+
31
100
=
31
100
Here, 0/100 is the whole number 0, and 31/100 is the fractional part.
Answer: 0.3100 = 31/100
Converting 0.3100 to a fraction results in 31/100. This detailed process of breaking down the decimal, converting it, simplifying, and then combining the parts gives you a clear understanding of how to handle such conversions in math, everyday calculations, or even complex problem-solving.