Answer:
45 2/15
Step-by-step explanation:
To pass a periodic decimal number to a mixed number, you must first pass it to a fraction, as follows:
The number is 45.13333, which is equal to 45.13 ~, where we know that 3 repeats infinitely many times.
First you must subtract the number without a comma and the number without a comma without including the periodic number, like this:
4513 - 451 = 4062
Then, divide by a number of nines, for each periodic number together with zeros for each non-periodic number (only the part after the comma). Ie .13 ~
Because there is only one periodic (3) and non-periodic (1) number, it is divided by 90.
4062/90, we take out half
2031/45, then third
677/15, can no longer be reduced.
Now pass to a mixed number, we divide, the integer part would be the quotient, and the other part would be the fractional part, which would be the numerator the remainder and the denominator would be the number that divides like this:
677 | 15
675 | Four. Five
two
So it would be 45 2/15
