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
To identify the numeric order of the fractions and mixed numbers from smallest to largest, we can convert all the mixed numbers into improper fractions. Then we can compare them.
First, let's convert the mixed numbers into improper fractions:
1 3/6 = (1 x 6 + 3)/6 = 9/6
2 3/5 = (2 x 5 + 3)/5 = 13/5
1 7/8 = (1 x 8 + 7)/8 = 15/8
Now we have the following set of fractions:
7/9, 9/6, 13/5, 15/8
To compare these fractions, we need to have a common denominator. The least common denominator (LCD) of 9, 6, 5, and 8 is 360. So, let's convert all the fractions to have a denominator of 360:
7/9 = (7 x 40)/ (9 x 40) = 280/360
9/6 = (9 x 60)/(6 x 60) = 540/360
13/5 = (13 x 72)/(5 x 72) = 936/360
15/8 = (15 x 45)/(8 x 45) = 675/360
Now we have the following set of fractions:
280/360, 540/360, 936/360, 675/360
Let's order them from smallest to largest:
280/360 < 540/360 < 675/360 < 936/360
Converting back to fractions:
280/360 = 7/9
540/360 = 3/2
675/360 = 15/8
936/360 = 13/5
So, the numeric order of the given fractions and mixed numbers from smallest to largest is:
7/9, 3/2, 15/8, 13/5
To identify the numeric order of these fractions and mixed numbers from smallest to largest, we need to convert all of them to either improper fractions or decimals.
Let's start by converting the mixed numbers to improper fractions:
1 3/6 = (1 * 6 + 3) / 6 = 9/6
2 3/5 = (2 * 5 + 3) / 5 = 13/5
1 7/8 = (1 * 8 + 7) / 8 = 15/8
Now, let's order the fractions and mixed numbers from smallest to largest:
9/6, 13/5, 7/9, 15/8
To further compare these fractions, it is easier to convert them to decimals.
9/6 = 1.5
13/5 ≈ 2.6 (rounded to one decimal place)
7/9 ≈ 0.8 (rounded to one decimal place)
15/8 ≈ 1.9 (rounded to one decimal place)
Now, let's list the decimals from smallest to largest:
0.8, 1.5, 1.9, 2.6
Finally, let's match the decimals to their corresponding fractions:
0.8 → 7/9
1.5 → 9/6
1.9 → 15/8
2.6 → 13/5
Therefore, the numeric order of the fractions and mixed numbers from smallest to largest is:
7/9, 9/6, 15/8, 13/5
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