Identify the numeric order of these fractions and mixed numbers from smallest and largest : 1 3/6, 2 3/5, 7/9, 1 7/8
To determine the order of the fractions and mixed numbers from smallest to largest, we need to convert everything to a common form. Let's convert all the numbers to improper fractions:
1 3/6 = 1 + 3/6 = 6/6 + 3/6 = 9/6
2 3/5 = 2 + 3/5 = 10/5 + 3/5 = 13/5
7/9 remains as 7/9
1 7/8 = 1 + 7/8 = 8/8 + 7/8 = 15/8
Now we will order the numbers from smallest to largest:
7/9, 9/6, 13/5, 15/8
To identify the numeric order of the fractions and mixed numbers, convert them all to improper fractions.
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 list them in ascending order:
7/9 < 9/6 < 13/5 < 15/8
So, the 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 compare them by converting them into decimals.
Let's begin by converting each fraction and mixed number into improper fractions:
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 convert these improper fractions into decimals:
1 3/6 = 9/6 = 1.5
2 3/5 = 13/5 = 2.6
7/9 = 0.777...
1 7/8 = 15/8 = 1.875
So, now we have the following decimals:
1 3/6 = 1.5
2 3/5 = 2.6
7/9 = 0.777...
1 7/8 = 1.875
From the smallest to the largest, the numeric order of these fractions and mixed numbers is:
7/9, 1 3/6, 1 7/8, 2 3/5