Answer: 0.3376 as a fraction is 211/625
Converting the decimal number 0.3376 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 0.3376 can be broken down as:
0.3376 = 0 + 0.3376
Here, 0 is the whole number part, and 0.3376 is the decimal part.
Focus on converting the decimal part, 0.3376, to a fraction. To do this, consider the place value of the decimal:
0.3376 =
3376
10000
Now, simplify the fraction 3376/10000. To do this, find the greatest common divisor (GCD) of 3376 and 10000.
Now, divide both the numerator and the denominator by their GCD:
3376 ÷ 16
10000 ÷ 16
=
211
625
So, 0.3376 as a fraction is 211/625
Now that you have 0.3376 = 0 + 0.3376, express the entire number as a mixed fraction:
0.3376
= 0 +
211
625
=
0
625
+
211
625
=
211
625
Here, 0/625 is the whole number 0, and 211/625 is the fractional part.
Answer: 0.3376 = 211/625
Converting 0.3376 to a fraction results in 211/625. 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.