How do you convert 3/8 to a decimal?

1 Answer
Apr 17, 2016

3/8 = 0.37538=0.375

Explanation:

You can find it by long division, but let's try another way...

Since 8 = 2xx2xx28=2×2×2 and 10 = 2xx510=2×5, we know that 88 is a divisor of 1000 = 10xx10xx10 = 2xx2xx2xx5xx5xx5 = 8xx1251000=10×10×10=2×2×2×5×5×5=8×125

So:

3/8 = (3*125)/(8*125) = 375/1000 = 0.37538=31258125=3751000=0.375