Identify the numeric order of these fractions and mixed numbers from smallest to largest.

1 3/6, 2 3/5,7/9,1 7/8

1 answer

To order fractions and mixed numbers from smallest to largest, we need to convert them all to equivalent fractions with a common denominator.

First, let's convert the mixed numbers to improper fractions:
1 3/6 = 6/6 + 3/6 = 9/6
2 3/5 = 10/5 + 3/5 = 13/5
1 7/8 = 8/8 + 7/8 = 15/8

Now, let's find a common denominator for all the fractions, which is 40 (this is the least common multiple of 2, 5, 6, and 8).

1 3/6 = 9/6 * 40/40 = 360/240
2 3/5 = 13/5 * 8/8 = 104/40
7/9 = 7/9 * 40/40 = 280/360
1 7/8 = 15/8 * 5/5 = 75/40

Now that all the fractions have a common denominator, we can compare them:

280/360 < 360/240 < 75/40 < 104/40

So, the order from smallest to largest is:

1 7/8, 1 3/6, 7/9, 2 3/5