Put the following fractions and mixed numbers from largest to smallest.
1 1/2, 1/4, 1 3/4, 5/6
1 3/4, 1 1/2, 1/4, 5/6
To put the fractions and mixed numbers from largest to smallest, we need to convert them all to a common form and then compare them.
First, let's convert the mixed numbers into improper fractions:
1 1/2 = (1 * 2 + 1)/2 = 3/2
1 3/4 = (1 * 4 + 3)/4 = 7/4
Now we have the following fractions:
3/2, 1/4, 7/4, 5/6
To order them from largest to smallest, we can convert them to decimals:
3/2 = 1.5
1/4 = 0.25
7/4 = 1.75
5/6 ≈ 0.83
Now let's arrange them from largest to smallest:
1.75, 1.5, 0.83, 0.25
Therefore, the fractions and mixed numbers arranged from largest to smallest are:
1 3/4, 1 1/2, 5/6, 1/4.
To put the fractions and mixed numbers in order from largest to smallest, we need to convert them all to fractions with the same denominator. Let's start by converting the mixed numbers to improper fractions.
1 1/2 = (1 * 2 +1)/2 = 3/2
1 3/4 = (1 * 4 + 3)/4 = 7/4
Now, let's convert all the fractions to have a denominator of 12, which is the least common denominator for 2, 4, and 6.
1/2 * 6/6 = 6/12
1/4 * 3/3 = 3/12
3/4 * 3/3 = 9/12
5/6 * 2/2 = 10/12
Now we have the following fractions:
6/12, 3/12, 9/12, 10/12
To compare fractions, we only need to consider their numerators since the denominators are the same.
From smallest to largest, the fractions are:
3/12, 6/12, 9/12, 10/12
Converting these back to mixed numbers:
3/12 = 1/4
6/12 = 1/2
9/12 = 3/4
10/12 = 5/6
So, the order from largest to smallest is:
1 3/4, 1 1/2, 5/6, 1/4