Find which fraction is greater :
1) 6/19 and 16/19
2) 1/2 and 3/5
3) 7/12 and 11/18
Order the fractions from least to greatest :
4) 5/19, 7/19, 2/19, 3/19
5) 3/4, 2/5, 1/8
6) 5/6, 1/4, 3/8, 7/12
Order the fractions from greatest to least :
7) 3/4, 2/5, 5/8, 1/2
8) 1/6, 1/3, 3/14, 2/7
1. Answer :
6/19 and 16/19
In the fractions 6/19 and 16/19, the denominator is same. So, the fraction which has greater numerator will greater in value.
16/9 > 6/19
16/19 is greater than 6/19
2. Answer :
1/2 and 3/5
In the fractions 1/2 and 3/5, the denominators are different.
Make the denominators same using least common multiple.
Least common multiple of (2, 5) = 10.
1/2 = (1 ⋅ 5)/(2 ⋅ 5) = 5/10
3/5 = (3 ⋅ 2)/(5 ⋅ 2) = 15/10
Compare the numerators of like fractions 5/10 and 15/10.
15/10 > 5/10
Substitute the corresponding original fractions.
3/5 > 1/2
3/5 is greater than 1/2
3. Answer :
7/12 and 11/18
In the fractions 7/12 and 11/18, the denominators are different.
Make the denominators same using least common multiple.
Least common multiple of (12, 18) = 36.
7/12 = (7 ⋅ 3)/(12 ⋅ 3) = 21/36
11/18 = (11 ⋅ 2)/(18 ⋅ 2) = 22/36
Compare the numerators of like fractions 21/36 and 22/36.
22/36 > 21/36
Substitute the corresponding original fractions.
11/18 > 7/12
11/18 is greater than 7/12
4. Answer :
In all the given fractions, the denominator is same.
Compare the numerators and order them from least to greatest.
2/19, 3/19, 5/19, 7/19
5. Answer :
3/4, 2/5, 1/8
In the given fractions, the denominators are different.
Make the denominator same using least common multiple and order them from least to greatest.
Least common multiple of (4, 5, 8) = 40.
3/4 = (3 ⋅ 10)/(4 ⋅ 10) = 30/40
2/5 = (2 ⋅ 8)/(5 ⋅ 8) = 16/40
1/8 = (1 ⋅ 5)/(8 ⋅ 5) = 5/40
Compare the numerators of like fractions above and order them from least to greatest.
5/40, 16/40, 30/40
Substitute the corresponding original fractions.
1/8, 2/5, 3/4
6. Answer :
5/6, 1/4, 3/8, 7/12
In the given fractions, the denominators are different.
Make the denominator same using least common multiple and order them from least to greatest.
Least common multiple of (6, 4, 8, 12) = 24.
5/6 = (5 ⋅ 4)/(6 ⋅ 4) = 20/24
1/4 = (1 ⋅ 6)/(4 ⋅ 6) = 6/24
3/8 = (3 ⋅ 3)/(8 ⋅ 3) = 9/24
7/12 = (7 ⋅ 2)/(12 ⋅ 2) = 14/24
Compare the numerators of like fractions above and order them from least to greatest.
6/24, 9/24, 14/24, 20/24
Substitute the corresponding original fractions.
1/4, 3/8, 7/12, 5/6
7. Answer :
3/4, 2/5, 5/8, 1/2
In the given fractions, the denominators are different.
Make the denominator same using least common multiple and order them from greatest to least.
Least common multiple of (4, 5, 8, 2) = 40.
3/4 = (3 ⋅ 10)/(4 ⋅ 10) = 30/40
2/5 = (2 ⋅ 8)/(5 ⋅ 8) = 16/40
5/8 = (5 ⋅ 5)/(8 ⋅ 5) = 25/40
1/2 = (1 ⋅ 20)/(2 ⋅ 20) = 20/40
Compare the numerators of like fractions above and order them from greatest to least.
30/40, 25/40, 20/40, 16/40
Substitute the corresponding original fractions.
3/4, 5/8, 1/2, 2/5
8. Answer :
1/6, 1/3, 3/14, 2/7
In the given fractions, the denominators are different.
Make the denominator same using least common multiple and order them from greatest to least.
Least common multiple of (6, 3, 14, 7) = 42.
1/6 = (1 ⋅ 7)/(6 ⋅ 7) = 7/42
1/3 = (1 ⋅ 14)/(3 ⋅ 14) = 14/42
3/14 = (3 ⋅ 3)/(14 ⋅ 3) = 9/42
2/7 = (2 ⋅ 6)/(7 ⋅ 6) = 12/42
Compare the numerators of like fractions above and order them from greatest to least.
14/42, 12/42, 9/42, 7/42
Substitute the corresponding original fractions.
1/3, 2/7, 3/14, 1/6
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