Question

Name a number between 3/8 and 3/7 and how do you do it?

Answer 1

When you say "number", do you mean a rational number?

If so, then just take the average of 3/8 and 3/7.

Answer 2

if you just mean number between...then think of a number greater than 3/8 but less than 3/7

Answer 3

This is a fifth grade math problem. Please explain the process.

Answer 4

hmmm okay..to make it easier..change both fractions to common terms by that i mean numbers with common denominators...do you know how?

Answer 5

I know that 56 is a common denominator.

Answer 6

right! but what is 3/8 in terms of a 56 denominator?

to get that...divide 56 by your original denominator (which is 8)..that will give you 7..now multiply that to your numerator (which is 3)..that will give you 21

so...3/8 = 21/56

try it with the other fraction

Answer 7

24/56. Is this the simplest way to figure this out?

Answer 8

yeppp...now you have 21/56 and 24/56 think of a number between those 2 numbers..

Hint: the denominator is 56

Answer 9

23/56 or 22/56. Is there simpler way?

Answer 10

afraid not..this is the simplest i can think of

Answer 11

Thank you!

Answer 12

<tips hat>

Answer 13

There are as you know infinite number of solutions for your problem here some of them
\[\left\{\frac{45}{112},\frac{23
}{56},\frac{93}{224},\frac{
117}{280},\frac{47}{112},\frac{165}{392},\frac{27}{64}\\
,\frac{71}{168},\frac{237}{
560},\frac{261}{616},\frac{
95}{224},\frac{309}{728},\frac{333}{784},\frac{17}{40}\\
,\frac{381}{896},\frac{405}
{952},\frac{143}{336},\frac
{453}{1064},\frac{477}{1120
}\right\}
\]
The above ones were generated as a weighted averages
\[\frac{3}{7}
\left(1-\frac{1}{i}\right)+
i \frac{3}{8 },\,\, i=2,3,4, \cdots 20
\]