Question

express the mixed recurring decimal 4.32 in the from p/q​

Answer 1

Answer:

GIVEN -

• 4.32 A MIXED RECURRING DECIMAL

TO FIND -

• P/q form of it

SOLUTION -

4.32

432/100

216/50

108/25

MORE TO KNOW

• THE DECIMAL EXPANTION OF A RATIONAL NUMBER IS EITHER TERMINATING OR REPEATING.

• THE DECIMAL EXPANSION OF AN IRRATIONAL NUMBER IS NON- TERMINATING , NON RECCURING.

• IF THE DENOMINATOR OF A NUMBER HAS THE POWER OF 2 OR 5 OR BOTH THEN IT IS SAID TO BE TERMINATING, ( RATIONAL NO.)

• RATIONAL NUMBERS CONSISTS OF FRACTIONS, DECIMALS, PRIME NUMBER, NATURAL NUMBER ETC

Answer 2

$\huge\fcolorbox{red}{yellw}{Question}$

Express the mixed recurring decimal 4.3222222... in the from p/q.

$\huge\fcolorbox{red}{yellw}{Solution}$

We have to express 4.3222.. in p/q form

x = 4.322222222..... (1)

we have to multiply with 10

10x = 43.22222222.... (2)

Now,

subtract (2) - (1)

10x =43.222222.....

-x = 4.3222222....

9x = 39.0

x = 39/9

x = 13/3

If Question is to convert 4.32 in p/q form then

432/100

= 216/50

= 108/25

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