1 1/9-3 7/9

To subtract these two mixed numbers, first convert each to an improper fraction.

1 1/9 is a mixed number, composed of 1 whole and 1/9 fraction. To convert it into an improper fraction, you use the formula (whole number × denominator) + numerator, using the same denominator, which gives you:

(1 × 9) + 1 = 9 + 1 = 10 So it becomes 10/9.

Now for the second number, 3 7/9:

(3 × 9) + 7 = 27 + 7 = 34 So it becomes 34/9.

Now to subtract 34/9 from 10/9:

10/9 - 34/9 = -24/9

This fraction can be simplified by dividing both the numerator and the denominator by the greatest common factor, which is 3.

-24 ÷ 3 = -8 9 ÷ 3 = 3

So -24/9 simplifies to -8/3, which is an improper fraction. If you want to convert this back to a mixed number, you divide the numerator by the denominator:

-8 ÷ 3 = -2 remainder 2

So it becomes -2 2/3.

Therefore, 1 1/9 - 3 7/9 = -2 2/3.