Question

2.78 Convert decimal to p/q form​

Answer 1

Answer:

Hey!! Ur answer:

$2.78 \: in \: \frac{p}{q} \: form... \\ = \frac{278}{100}$

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Given :

Number = 2.78 ,bar on 78

l 48%

To find:

Express the given number into p/q form?

Solution:

Given decimal number = 2.78, bar on 78

Let X = 2.787878...

-(1)

Since ,the periodicity is 2

Multiply (1) with 100 then

=>100xX = 2.787878...×100

=>100X = 278.787878...

On Subtracting (1) from (2) then

(2)-(1)

Math 5 points

100X = 278.787878...

l 48%

X = 2.787878...

(-)

99X = 276.000000...

=> 99X = 276

=>X = 276/99

=>X = (3x92)/(3×33)

=>X = 92/33

2.78 bar on 78 = 92/33

=>X = (3x92)/(3×33)

=>X = 92/33

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2.78 bar on 78 = 92/33

Answer :

The p/q form of the given problem is 92/33