How do you simplify and make the decimal 0.875 into a fraction?

Oct 7, 2015

$0.875 = \frac{7}{8}$
You can start by changing it straight forward to $\frac{875}{1000}$. Now you have to see if this fraction can be reduced.
Both numerator and denominator can be divided by 25 because the digits of tens and units form numbers divisible by $25$ ($75$ and $0$ respectively). If you reduce the fraction by $25$ you get: $\frac{35}{40}$. This fraction can be further reduced by $5$, so you get $\frac{7}{8}$. Since $7$ is a prime number and $8$ is not divisible by $7$ you cannot reduce the fraction further, so the answer is:
$0.875 = \frac{7}{8}$