Question

Express 2.41787878...as a rational number

Answer 1

Answer:

x = 239/99

Step-by-step explanation:

x = 2.41787878.......

100x = 241.787878...............

subtracting both the equations

99x = 239

x = 239/99

it is in the form p/q

Answer 2

Answer:

to express 2.41787878..... in p/q form

let x = 2.417878........ (1)

100x = 241.7878...... (2) [ as only two numbers are repeating, multiply x by 100 ]

(2) - (1)

=> 99x = 239.37

=> x = 239.37/99

=> as numerator is not an integer, we have to multiply both numerator and denominator by 100 to get rid of the decimal and make it a integer.pp

therefore x = 239.37/99 ×100/100

=> x = 23937/9900

this is the rational form

here p = 23937 and q = 9900