Question

Express 2.36 + 0.23 as a fraction in the simplest form. bar on .36 and .23 ​

Answer 1

Answer:

257/99

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Step-by-step explanation:

1st Number: 2.36 (bar on 36)

2nd number: 0.23 (bar on 23)

Need to express in fraction.

Solution:

1st Number 2.36 (bar on .36)

We can write is as 2.36..

2nd number .23 ( bar on .23)

We can write it as .23..

Now Add both numbers

2.36.. + .23..

= 2.59..

Let

x = 2.59.. (1)

there are 2 digits after decimal well we will multiply equation( 1 ) with 100

multiplying by 100

Now we will get:

100x = 259.59.. (2)

Subtract equation (1) from equation (2)

100x - x = 259.59.. - 2.59..

99x = 257

x = 257/99

Well answer is 257/99 or 2 59/99 mixed fraction

Verify:

257/99

= 2.595959

We can write it as

2.59.. or 2.59 (bar on 59)

and we know that

2.36.. + .23.. = 2.59..

Hence it is proved that the correct answer is 257/99

All the best

@RayyanKashsn❤