Question

add:0.3 bar + 0.47 bar 7​

Answer 1

Answer:

=73/90

Step-by-step explanation:

Let x=0.333333......

10x=3.3333333......

10x-x=3

9x=3

x=1/3

Now let y=0.4777777.......

so 10y=4.77777777........

100y=47.77777777........

100y-10y=47-4=43

90y=43

y=43/90

Now x+y=1/3+43/90

=1/90*( 30+43)

=73/90

Answer 2

The answer is 73/90

GIVEN

Mathematical expression; 0.3̅ + 0.47̅

TO FIND

To add the above expression

SOLUTION

We can simply solve the above problem as follows

Let, x = 0.333333... (Equation 1)

Multiplying the above equation by 10.

10x = 3.333333.... (Equation 2)

Subtracting Equation 1 from Equation 2

10x - x = 3.33333... - 0.3333..

9x = 3

x = 3/9 = 1/3

Let, y = 0.47̇777777.... (equation 1)

Multiplying the above equation by 10

10y = 4.77777777... (Equation 2)

Subtracting equation 1 from equation 2

9y = 4.3

y = 4.3/9 = 43/90

Now,

0.3̅ + 0.47̅ = 1/3 + 43/90

= 73/90

Hence, The answer is 73/90

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