Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you convert 0.49 (49 repeating) as a fraction?

1 Answer

Sep 7, 2016

$0.49 ¯ ¯¯ ¯ 49 = \frac{49}{99}$ $0.49bar(49)=49/99$

Explanation:

Let
$XXX x = 0.49 ¯ ¯¯ ¯ 49$ $color(white)("XXX")x=0.49bar(49)$
then
$XXX 100 x = 49.49 ¯ ¯¯ ¯ 49$ $color(white)("XXX")100x=49.49bar(49)$

and
$XXX 99 x = 100 x - x = 49$ $color(white)("XXX")99x=100x-x=49$

$XXX x = \frac{49}{99}$ $color(white)("XXX")x=49/99$

Related questions

See all questions in Conversion of Decimals, Fractions, and Percent

Impact of this question

13700 views around the world

You can reuse this answer
Creative Commons License