Identify the numeric order of these fractions and mixed numbers from largest to smallest: 1 1/2, 1/4, 1 3/4, 5/6
The numeric order of these fractions and mixed numbers from largest to smallest is as follows:
1 3/4, 1 1/2, 5/6, 1/4
That is correct
Thank you! I'm glad I could help. If you have any more questions, feel free to ask.
To identify the numeric order of these fractions and mixed numbers from largest to smallest, we need to convert all the mixed numbers to improper fractions:
1 1/2 can be converted to an improper fraction as follows:
1 × 2 + 1 = 2 + 1 = 3, so 1 1/2 equals 3/2.
1 3/4 can be converted to an improper fraction as follows:
1 × 4 + 3 = 4 + 3 = 7, so 1 3/4 equals 7/4.
Now let's list the fractions in descending order:
7/4 (1 3/4), 3/2 (1 1/2), 1/4, 5/6.
So, the numeric order from largest to smallest is: 1 3/4, 1 1/2, 1/4, 5/6.
To identify the numeric order of these fractions and mixed numbers from largest to smallest, we need to compare their numerical values. Here's how you can do it:
Step 1: Convert the mixed numbers into improper fractions.
- 1 1/2 is equivalent to (1 * 2 + 1) / 2 = 3/2
- 1 3/4 is equivalent to (1 * 4 + 3) / 4 = 7/4
Now, let's compare these fractions and mixed numbers:
Step 2: Compare 5/6, 3/2, 1/4, and 7/4.
Comparing the fractions visually, we can see that 5/6 is the smallest fraction.
Next, we compare the remaining fractions:
Comparing 3/2 and 1/4:
To compare fractions with different denominators, we need to find a common denominator. The least common denominator (LCD) of 2 and 4 is 4.
Converting 3/2 to have a denominator of 4: (3 * 2)/ (2 * 2) = 6/4
Now, comparing 6/4 (3/2) and 1/4, we can see that 6/4 (3/2) is larger than 1/4.
Lastly, comparing 6/4 (3/2) and 7/4, we can see that 7/4 is larger.
So, the numeric order of these fractions and mixed numbers from largest to smallest is: 7/4, 6/4 (3/2), 1/4, 5/6.