Convert 0.
57
into a fraction.
- A33
19
- B33
17
- C33
57
- D19
33
Solution & Step-by-step Explanation
To convert a pure recurring decimal into a vulgar fraction:
Write the repeated number in the numerator and place as many nines in the denominator as the number of digits repeating.
Here, 0.
57
has two repeating digits (5 and 7).
0.
57
=
99
57
Simplifying the fraction by dividing both numerator and denominator by 3:
99÷3
57÷3
=
33
19
Write the repeated number in the numerator and place as many nines in the denominator as the number of digits repeating.
Here, 0.
57
has two repeating digits (5 and 7).
0.
57
=
99
57
Simplifying the fraction by dividing both numerator and denominator by 3:
99÷3
57÷3
=
33
19