How do you change #398.4374# into a fraction?

Question

Avery Alexander · Accepted Answer

#398.4374 = 1992187/5000# A terminating decimal can be written as a multiple of a negative power of #10# then simplified: #398.4374 = 3984374/10000 = (color(red)(cancel(color(black)(2))) * 1992187) / (color(red)(cancel(color(black)(2))) * 5000) = 1992187/5000#

Genesis Allen · Answer

See below.

Decimals are just another way to write fractions. In essence, #0.1# is the same as #1/10#, #0.01# is the same as #1/100#, and #1.023# is the same as #1023/1000# (for example). Now, let's tackle the problem at hand. This is a decimal which has 4 places, so the last digit is in the ten-thousandths place. This means that the fraction in our answer has to be out of #10,000#. Now that we know the denominator (bottom) of the fraction, let's write the actual fraction: #3984374/10000# This is our final answer. Since the question doesn't specify whether or not the answer has to be in simplest form, we are done. (Note that the numerator no longer has any decimal.) I hope that helps! P.S. If you find any part of my answer confusing, please leave a comment. Thank you!

Kennedy Adams · Answer

undefined To change 398.4374 into a fraction, you would write it as $ \frac{3984374}{10000} $. Then, you can simplify the fraction if possible.