Question

Express 0.7777 in the form of p/q. Think and find out why the answer makes sense

Answer 1

Answer:

Let it. be x

then

x = 0.7777

10x = 7.7777

then subtracting eq 1 from 2.....

9x = 7

x = 7/9

HOPE IT HELPS.....

Answer 2

Answer:

$\frac{7}{9}$

Step-by-step explanation:

Concept

• A recurring decimal is a non-terminating decimal that has a digit or a sequence of digits repeating over and over and over again without ever ending.

Given

0.7777

Find

p/q form

Solution

Let $\mathrm{x}=0 . \overline{7}$

So, $10 \mathrm{x}=7 . \overline{7}$

$\mathrm{x}=0 . \overline{7}$

On subtracting we get,

$9 \mathrm{x}=7$

$\Rightarrow \mathrm{x}=\frac{7}{9}=\mathrm{p} / \mathrm{q}$

Where $p=7$ and $q=9$

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