What is 69 divided by 26?

2 Answers
Nov 30, 2016

Answer:

#69/26=2.6538....#

Explanation:

#color(white)(xxxxxxx)2 .color(white)(x)6 color(white)(x)5color(white)(x)3color(white)(x)8#
#color(white)(xx) 26| bar(6color(white)(x)9color(white)(x).0color(white)(x) 0)color(white)(x) 0#
#color(white)(xxxxx)ul(5color(white)("x)2)color(red)(darr#
#color(white)(xxxxx)1color(white)(x)7 color(white)(x) "0"#
#color(white)(xxxxx)ul(1color(white)(x)5color(white)(x)6) #
#color(white)(xxxxxxx)1color(white)(x)4color(white)(x) "0"#
#color(white)(xxxxxxx)ul(1color(white)(x)3color(white)(x)0 #
#color(white)(xxxxxxxxx) 1color(white)(x)0 color(white)(x) "0"#
#color(white)(xxxxx'xxxxx)ul(7 color(white)(x) 8 )"#
#color(white)(xxxxxxxxxxx)2color(white)(x)2color(white)(x)0 #
#color(white)(xxxxxxxxxxx) ul(2color(white)(x)0 color(white)(x)8)#
#color(white)(xxxxxxxxxxxxx)1color(white)(x)2#

and hence

#69/26=2.6538....#

Note: As denominator is #26=2xx13#, leaving #2# as it is a factor of #10#, the digits should repeat from #13^(th)# digit i.e. after #12# digits.

Nov 30, 2016

Answer:

#69/26 = 2 17/26#

Explanation:

Shwetank Mauria has shown the long division method very clearly.

The answer will be a pretty uncomfortable recurring decimal.

Another option is to use fractions and change an improper fraction to a mixed number. The resulting fraction is also pretty awkward, but is has the advantage of being exact, whereas a decimal answer, by necessity, has to be rounded off.

#69 div 26 = 69/26#

#69/26 = 2 17/26#

Recall the method:

#2xx26 = 52" "larr# whole number is 2

#69-52 = 17" "larr# this gives the remainder.

The remainder is a fraction of #26#

Hence #2 17/26#