Question

When the repeating decimal 10. 36 36 36.
is written in simplest fractional form P/q find
the value of P+q​

Answer 1

Answer:

Consider,

x=10.363636 (1)

Multiply both sides of equation (1) by 100.

100x=100×10.363636

100x=1036.363636 (2)

Subtract equation (2) from equation (1).

99x=1026

x=

99

1026

x=

11

114

This gives that p=114 and q=11

p+q=114+11

p+q=125

Step-by-step explanation:

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Answer 2

Answer:

p=114, q=11

then

p+q=114+11

p+q=125