identify the numeric order of these fraction and mixed numbers from smallest to largest 1 3/6, 2 3/5, 7/9, 1 7/8
To find the numeric order of these fractions and mixed numbers, we need to convert them to decimal form.
1 3/6 = 1 + 3/6 = 1 + 0.5 = 1.5
2 3/5 = 2 + 3/5 = 2 + 0.6 = 2.6
7/9 = 0.777777...
1 7/8 = 1 + 7/8 = 1 + 0.875 = 1.875
Now we can arrange them from smallest to largest:
1.5, 0.777777..., 1.875, 2.6
To identify the numeric order of these fractions and mixed numbers from smallest to largest, we need to convert all of them into the same format. Let's convert them all into improper fractions.
1 3/6 = (1 * 6 + 3) / 6 = 9/6
2 3/5 = (2 * 5 + 3) / 5 = 13/5
7/9
1 7/8 = (1 * 8 + 7) / 8 = 15/8
Now we can compare these fractions and mixed numbers:
7/9 < 9/6 < 13/5 < 15/8
Therefore, the correct numeric order from smallest to largest is:
7/9, 9/6, 13/5, 15/8
To identify the numeric order of these fractions and mixed numbers from smallest to largest, we can convert them all to improper fractions and then compare their values.
Let's convert each fraction and mixed number to an improper fraction:
1 3/6 = (1 × 6 + 3) / 6 = 9/6
2 3/5 = (2 × 5 + 3) / 5 = 13/5
7/9 = 7/9
1 7/8 = (1 × 8 + 7) / 8 = 15/8
Now, let's compare the values of these fractions and mixed numbers:
9/6, 13/5, 7/9, 15/8
To compare fractions, we can find a common denominator and then compare their numerators.
For 9/6 and 13/5, let's find a common denominator:
For 9/6, the common denominator is 6.
For 13/5, the common denominator is 5.
So, we need to convert both fractions to have a denominator of 30 (common multiple of 6 and 5):
9/6 = (9 × 5) / (6 × 5) = 45/30
13/5 = (13 × 6) / (5 × 6) = 78/30
Now, let's compare:
45/30, 78/30, 7/9, 15/8
Since the denominators are the same, we can directly compare the numerators.
45/30 is smaller than 78/30.
Comparing all four fractions, the order from smallest to largest is:
45/30, 7/9, 78/30, 15/8
Converting them back to mixed numbers:
45/30 = 1 15/30 = 1 1/2
7/9 remains as 7/9
78/30 = 2 18/30 = 2 3/5
15/8 remains as 15/8
Therefore, the final order from smallest to largest is:
1 1/2, 7/9, 2 3/5, 15/8