How do you change 4.73 the 3 is repeating into a fraction?

Answer 1

Let N represents the converted fraction, so

N = 4.7333...multiply by 10 to both sides;

10N = 47.333... subtract the first row from the second row;

9N = 42.6 multiply by 10 to both sides;

90N = 426 divide by 90 to both sides;

N = 426/90

N = 426÷6/90÷6

N = 71/15

Thus, 71/15 = 4.7333...

Or,

N = 4.7333...multiply by 10 to both sides;

10N = 47.333... write 47.333... as 47 + 1/3;

10N = 47 + 1/3

10N = 142/3 divide by 10 to both sides;

N = 142/30

N = 142÷2/30÷2

N = 71/15