Associated Topics || Dr. Math Home || Search Dr. Math

### Multiplying by Fractions and Decimals

```
Date: 5/31/96 at 2:49:5
From: Marie Langley
Subject: math problem

My granddaughter wants to know, "What number is 3\10 more than .025?"

Thanks, Marie Langley
```

```
Date: 6/2/96 at 17:46:25
From: Doctor Brian
Subject: Re: math problem

Since your question involves both decimal and fractional
representations for numbers, would you rather have the answer as a
decimal or a fraction?  I will address both forms:

For decimals, we need to convert 3/10 to a decimal.  Since your
granddaughter seems to have some familiarity with decimals, she is
probably aware that 0.3 is officially read as "three tenths," and
therefore *is* the decimal representation for 3/10.  At this point, we
need simply to add the two decimals.  Lining up the place values gives
us:

0.3
0.025
-----
0.325

For decimals, note that .025 may be read as "twenty-five thousandths."
Therefore, the question is now 3/10 + 25/1000.  Converting these to a
common denominator of 1000 gives 300/1000 + 25/1000, which equals
325/1000.  This fraction reduces to 13/40.  (Don't worry, 13/40 is the
fraction equivalent for .325.)

-Doctor Brian,  The Math Forum
Check out our web site!  http://mathforum.org/dr.math/
```
Associated Topics:
Elementary Fractions

Search the Dr. Math Library:

 Find items containing (put spaces between keywords):   Click only once for faster results: [ Choose "whole words" when searching for a word like age.] all keywords, in any order at least one, that exact phrase parts of words whole words

Submit your own question to Dr. Math
Math Forum Home || Math Library || Quick Reference || Math Forum Search