How do you reduce #\frac { 26} { 10}#?

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Answer 1 · 2017-01-20T03:45:44

#26/10=13/5#

Because #13times2=26# and #5times2=10# we can say

#26/10=(13times2)/(5times2)#

By the rules of multiplication of fractions we can say

#=13/5times2/2#

Since #2/2=1#, and anything #times1# equals itself

#=13/5times1=13/5#

Since #13# and #5# are prime, the fraction cannot be reduced further.

Answer 2 · 2017-01-20T17:21:20

#13/5#

10 is a product of the prime numbers 2 and 5

5 will not divide into 26 completely so we divide top and bottom by 2

#(26-:2)/(10-:2) = 13/5#

As both 13 and 5 are prime numbers it can not be reduced any further with whole numbers.