Question

Subtract.

45 1/6 − 2/3

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answer 1

Answer: The difference between 45 1/6 and 2/3 is 44 1/6.

Explanation:

To subtract mixed numbers, we first need to convert them to fractions with a common denominator. The least common multiple of 6 and 3 is 6, so we can use that as the common denominator.

45 1/6 becomes (45 * 6 + 1) / 6 = 271/6

2/3 becomes 2 * 2 / 3 = 4/3

Now we can subtract the fractions:

271/6 - 4/3 = (271 - 4) / 6 = 267/6

This fraction can be simplified by dividing the numerator and denominator by their greatest common divisor, which is 1. The simplified fraction is:

267/6 = 44 1/6

So the difference between 45 1/6 and 2/3 is 44 1/6.