Question

Put the following fractions in order from largest to smallest: 4/10, 2/3, 10/4, 3/2

Answer 1

To order the fractions from largest to smallest, convert them to decimals or mixed numbers: 10/4 (2.5), 3/2 (1.5), 2/3 (~0.6667), 4/10 (0.4). The descending order is 10/4, 3/2, 2/3, and 4/10.

Step-by-step explanation:

To order the fractions 4/10, 2/3, 10/4, and 3/2 from largest to smallest, we need to compare their values. One way to compare fractions is to look for a common denominator, but since these fractions have different denominators that don't easily align, we can alternatively convert each fraction to a decimal or a mixed number to make comparison easier.

1. 4/10 = 0.4 or 2/5 after simplification.
2. 2/3 is approximately 0.6667.
3. 10/4 = 2.5 or 2 1/2 as a mixed number.
4. 3/2 = 1.5 or 1 1/2 as a mixed number.

Comparing these values, we see that 10/4 (2.5) is the largest, followed by 3/2 (1.5), then 2/3 (approximately 0.6667), and finally 4/10 (0.4) is the smallest. Therefore, the fractions in descending order are:

1. 10/4 (2 1/2)
2. 3/2 (1 1/2)
3. 2/3
4. 4/10 (2/5)