Expressing a Fraction as a DecimalDate: 8/19/96 at 20:28:16 From: Anonymous Subject: Express Fraction as a Decimal How do you write 3/8 as a decimal? Please explain. Date: 8/20/96 at 11:40:35 From: Doctor Anthony Subject: Re: Express Fraction as a Decimal A decimal like 0.2345 means in fraction notation 2345/10000 So to express 3/8 as a decimal, we shall need to change the fraction so that it has one each of 10, 100, 1000, 10000 etc. as the denominator. You do this by dividing 8 into 3 0.375 -------- 8|3 0 2 4 ---- 60 56 ---- 40 40 ----- 0 and so 3/8 is the same as 375/1000 An alternative could be to find by what factor you multiply 8 to get a multiple of 10, and then use the same factor to multiply 3. Thus 8*125 = 1000 and 3*125 = 375 so we get 375/1000 = 0.375 -Doctor Anthony, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
Search the Dr. Math Library: |
[Privacy Policy] [Terms of Use]
Ask Dr. Math^{TM}
© 1994-2013 The Math Forum
http://mathforum.org/dr.math/