How do you find a fraction between 1/5 and 1/4?

3 Answers

Find the mean of the two numbers

#(1/5+1/4)/2=(9/20)/(2/1)=(9*1)/(20*2)=9/40#

this is always halfway between the two numbers

May 12, 2016

Answer:

Convert to equivalent fractions with a common denominator and then choose a suitable numerator between the ones you have calculated..

Explanation:

Change to a common denominator.
#1/5 and 1/4# can be changed to #4/20 and 5/20#

However, the only values between 4 and 5 are fractions.
for example: #4.5/20 = 9/40#
This would require further simplifying.

Use a different common denominator: #8/40 and 10/40#
#9/40 #is between them.

Similarly for any common denominator with a value higher than 40:

#12/60 and 15/60# or #16/80 and 20/80#

The question does not ask for a fraction midway between them, so any of the following would be possible answers:

#13/60 , 14/60 , 17/80, 18/80 , 19/80 #etc.

Sep 25, 2016

Answer:

See below.

Explanation:

If you have two numbers #lambda_1 < lambda_2#

then you have infinite numbers in between them. You can construct them as

#mu = lambda_1 +eta(lambda_2-lambda_1)# or
#mu = eta lambda_1 + (1 - eta)lambda_2#

with #0 < eta < 1# so

#lambda_1 < mu < lambda_2#

Example: choosing #eta = 3/5#

#1/5 < 3/5xx1/5+(1-3/5)xx1/4 < 1/4# or

#1/5 < 11/50 < 1/4#