Final answer:
To order the fractions from least to greatest, convert them to decimals and then compare: 3/10 (0.3), 7/14 (0.5, which simplifies to 1/2), 7/10 (0.7), and 4/5 (0.8, which can be written as 8/10). Thus, the ordered list is 3/10, 7/14, 7/10, 4/5.
Step-by-step explanation:
To order the fractions 7/14, 3/10, 7/10, and 4/5 from least to greatest, we first convert them to decimals or find a common denominator to compare them. Here's how:
- Convert each fraction to a decimal or find equivalent fractions with a common denominator.
- 7/14 can be reduced to 1/2 which is 0.5 in decimal form.
- 3/10 is already in simplest form and is 0.3 in decimal form.
- 7/10 is also in simplest form and is 0.7 in decimal form.
- 4/5 can be converted to 8/10 which is 0.8 in decimal form.
- Now we can order them: 3/10 (0.3), 7/14 (0.5), 7/10 (0.7), 4/5 (0.8).
So the fractions from least to greatest are: 3/10, 7/14, 7/10, 4/5.
Order the fractions from least to greatest:
3/10
7/14
7/10
4/5
To compare fractions, find a common denominator. In this case, the common denominator is 10.
Convert each fraction to the common denominator:
3/10, 7/14 = 1/2, 7/10, 8/10
Now, compare the numerators:
1/2 < 7/10 < 8/10