Answer:
Write 0.628 as the fraction:
there are 3 digits after the decimal point, we convert into a fraction under sdenimonator 1000 to remove the decimal point
0.628 = 628/1000
we simplify
we calculate the gcd:
1000 = 1×628 + 372
628 = 1×372 + 256
372 = 1×256 + 116
256 = 2×116 + 24
116 = 4×24 + 20
24 = 1×20 + 4
20 = 5×4 + 0
The GCD is equal to the last non-zero remainder: 4.
we simplify 628/1000 =157*4/250*4 = 157/250
0.628 convert to fraction: 157/250