Identify the numeric order of these fractions and mixed numbers from largest to smallest in the final form with common denominators 1 1/2, 1/4, 1 3/4, 5/6.
I would put them largest to smallest first. Mr. No Name is wrong (I think).
1 3/4 = 7/4 = 21 / 12
1 1/2 = 3/2 = 18 / 12
5/6 = 10 /12
1/4 = 3/12
To identify the numeric order of these fractions and mixed numbers from largest to smallest, we need to convert them all to fractions with the same denominator.
Step 1: Convert the mixed numbers to improper fractions:
1 1/2 = 3/2
1 3/4 = 7/4
Step 2: Find the least common denominator (LCD) of all the fractions, which is the smallest multiple of the denominators:
For 1/2 and 1/4, the common denominator is 4 since it is the least common multiple (LCM) of 2 and 4.
For 5/6, the denominator is already 6.
Step 3: Convert each fraction to have the same denominator as the LCD:
1 1/2 = (1 * 2 + 1) / 2 = 3/2
1/4 = (1 * 1) / 4 = 1/4
1 3/4 = (1 * 4 + 3) / 4 = 7/4
5/6 remains as 5/6
Now that we have all the fractions with a common denominator of 4, we can compare them:
5/6, 3/2, 1/4, 7/4
Step 4: Convert the fractions to decimals and compare them:
5/6 = 0.8333...
3/2 = 1.5
1/4 = 0.25
7/4 = 1.75
From largest to smallest, the fractions and mixed numbers in final form are:
1 3/4, 7/4, 1 1/2, 5/6.