Question

Order the fractions from least to greatest.

A) 3, 3, 3
5. 7. 4

B) 3, 3, 3
7. 5. 4

C) 3, 3, 3
4. 7. 5

D) 3, 3, 3
7. 4. 5

Answer 1

B. 3/7, 3/5, 3/4

Explanation:

When ordering the fractions from least to greatest make sure they have the same denominator,

It is hard to compare fractions that don't have the same denominator!

3/7, 3/5, 3/4,

Denominators: 4, 5, and 7,

For the denominators (4, 5, 7) the least common multiple (LCM) is 140,

Calculations to rewrite the fractions as equivalent fractions with the LCD:

3/4 = 3/4 × 35/35 = 105/140

3/5 = 3/5 × 28/28 = 84/140

3/7 = 3/7 × 20/20 = 60/140

Now compare and order them,

105 is the greatest value,

60 is the smallest value,

60/140, 84/140, 105/140,

3/7, 3/5, 3/4,

Therefore option B is the answer.