Question

Fraction Concepts Use greater than, less than or equal to to make the sentence true.

1/10 ___ 3/4

Student Answer
1/10 > 3/4

Answer 1

Hello !

1. Introduction

To compare two fractions, they must have the same denominator.

let a and d be 2 denominators

2.1 If a and d have the same denominator

1. Explanation

The easiest ! Find the fraction that has the greater numerator.

2. Example :

2/5 and 3/5

• 2 < 3 so 2/5 < 3/5

2.2 If a and d have a common multiple

1. Explanation

You just have to put the fractions with the same denominator. Multiply the smallest by the least common multiple.

2. Example :

2/5 and 3/10

2/5 = (2*2)/(5*2) = 4/10

• 4/10 > 3/10 so 2/5 > 3/10

2.3 If a and d have no common multiple

1. Explanation

We will multiply the denominators together. We also multiply the numerator because if we multiply the numerator or the denominator we necessarily multiply the other with.

2. Example :

3/7 and 4/5

The common multiple 7 : 5 = 35

(3*5)/(7*5) and (4*7)/(5*7)

15/35 and 28/35

15/35 < 28/35 so 3/7 < 4/5

3. Application

1/10 and 3/4

There is not the same divisor, nor a common multiple : It's 1.3 !

• The common multiple 10 : 4 = 20

(1*2)/(10*2) and (3*5)/(4*5)

2/20 and 15/20

• 2/20 < 15/20 so 1/10 < 3/4

4. Conclusion

1/10 < 3/4

The student is wrong!

Answer 2

1/10 < 3/4

Explanation:

You need a common denotator to compare. The common denominator would be 40

1/10 x 4/4 = 4/40

3/4 x10/10 = 30/40

4/40 < 30/40 so

1/10 < 3/4

Helping in the name of Jesus.