Answer: 0.1700 as a fraction is 17/100
Converting the decimal number 0.1700 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 0.1700 can be broken down as:
0.1700 = 0 + 0.17
Here, 0 is the whole number part, and 0.17 is the decimal part.
Focus on converting the decimal part, 0.17, to a fraction. To do this, consider the place value of the decimal:
0.17 =
17
100
Now, simplify the fraction 17/100. To do this, find the greatest common divisor (GCD) of 17 and 100.
Now, divide both the numerator and the denominator by their GCD:
17 ÷ 1
100 ÷ 1
=
17
100
So, 0.17 as a fraction is 17/100
Now that you have 0.1700 = 0 + 0.17, express the entire number as a mixed fraction:
0.1700
= 0 +
17
100
=
0
100
+
17
100
=
17
100
Here, 0/100 is the whole number 0, and 17/100 is the fractional part.
Answer: 0.1700 = 17/100
Converting 0.1700 to a fraction results in 17/100. 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.