Question

Find the value of:

2.65 + 1.25

Answer 1

Let x = 2.65 = 2.6555...
⇒ 10x = 26.5    ....(i)
⇒ 100x = 265.5  ....(ii)
Subtracting (i) and (ii),
90x = 239
⇒ x = `(239)/(90)`
Let y = 1.25   ....(iii)
⇒ 100y = 125.25     ....(iv)
Subtracting (iii) from (iv),
99y = 124
⇒ y = `(214)/(99)`
∴ 2.65 + 1.25 = x + y
= `(239)/(90) + (124)/(99)`

= `(239 xx 11 + 124 xx 10)/(990)`

= `(2629 + 1240)/(990)`

= `(3869)/(990)`
= 3.908