How do you convert -5.7 (7 repeating) as a fraction?

1 Answer
Mar 24, 2016

a=5 7/9

Explanation:

Let the required number be a =- 5.dot7 .....(1)
Multiply both sides with 10, as there is one repeating digit therefore multiply with 10^1
10a = -57.dot 7 .....(2)

Subtracting (1) from (2)

10a - a = -57.dot 7 - (-5. dot7)
=>9a = -57.dot 7 +5. dot7

or 9a = -52

Solving for the required fraction
a = 52/9=5 7/9