Ordering Fraction greatest to smallest 1. 3/12 10/2 1/2 2. 2/11 11/6 11/4 3. 2/7 3/7 6/7 4.
8/4 8/8 8/10
Answer:
1. 10/2, 1/2, 3/12
2. 11/4, 11/6, 2/11
3. 6/7, 3/7, 2/7
4. 8/4, 8/8, 8/10
Step-by-step explanation:
1). Simplify the fractions:
\(3/12 = 1/4\) (since \(3/12 = 1/4\))
\(10/2 = 5\) (since \(10/2 = 5\))
\(1/2 = 0.5\) (since \(1/2 = 0.5\))
Compare the fractions:
From greatest to smallest:
1. \(5\) (10/2)
2. \(1\) (1/2)
3. \(0.25\) (3/12)
2).Find a common denominator for \(2/11\), \(11/6\), and \(11/4\):
The common denominator for 11, 6, and 4 is 44.
Convert the fractions to have a denominator of 44:
\(2/11 = 8/44\) (since \(2*4 = 8\) and \(11*4 = 44\))
\(11/6 = 44/24\) (since \(11*4 = 44\) and \(6*4 = 24\))
\(11/4 = 11*11/4*11 = 121/44\) (since \(11*11 = 121\) and \(4*11 = 44\))
Compare the fractions based on their numerators:
From greatest to smallest:
1). \(121/44\) (11/4)
2. \(44/24\) (11/6)
3. \(8/44\) (2/11)
3. By comparing the fractions directly, they are already ordered from greatest to smallest based on their numerators.
4). Simplify the fractions:
\(8/4 = 2\) (since \(8/4 = 2\))
\(8/8 = 1\) (since \(8/8 = 1\))
\(8/10 = 4/5\) (since \(8/10 = 4/5\))
Compare the fractions:
From greatest to smallest:
1. \(2\) (8/4)
2. \(1\) (8/8)
3. \(4/5\) (8/10)