Question

Express 1.233333..... in p/qform where p and q are co-primes.​

Answer 1

Answer:

$1.2333... = \frac{37}{30}$

Step-by-step explanation:

To express 1.233333..... in p/q form where p and q are co-primes.

let

$x = 1.233333... \\ \\ 10x = 12.33333... eq1\\ \\ 100x = 123.3333... \: \: eq2$

subtract eq2 from eq1

$10x - 100x = 12.3333... - 123.3333... \\ \\ 90x = 111 \\ \\ x = \frac{111}{90} \\ \\ x = \frac{37}{30}$

Hope it helps you.

Answer 2

The p/q form is $1.233333....=\frac{37}{30}$

Step-by-step explanation:

Given :  Number 1.233333....

To find : Express number in p/q form where p and q are co-primes. ?

Solution :

Let $x=1.233333...$ ....(1)

Multiply both side by 10,

$10x=12.3333...$ ....(2)

Subtract (1) and (2),

$10x-x=12.333..-1.233...$

$9x=11.1$

$x=\frac{11.1}{9}$

$x=\frac{111}{90}$

$x=\frac{37}{30}$

Therefore, the p/q form is $1.233333....=\frac{37}{30}$

#Learn more

Express 2.939393...... in the p/qform and q is not equal to 0

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