# Free Fractions 03 Practice Test - 6th grade

### Question 1

If you subtract 359 from 539 , you will get -

12

2

13

3

#### SOLUTION

Solution :B

The fractions 359 and 539 are like fractions, as they have same denominator.

To subtract like fractions, we have to subtract only the numerators and keep the denominator same.

539−359=53−359 =189 =2

### Question 2

Identify the proper fractions from the following:

1. 117

2. 37

3. 99999

4. 114788

5. 14100

1, 2 and 4

2, 3 and 5

2, 4 and 5

1, 3 and 5

#### SOLUTION

Solution :C

A proper fraction is a fraction in which the numerator is less than the denominator.

In 2, the numerator (3) is lesser than the denominator (7).

In 4, the numerator (114) is lesser than the denominator (788).

In 5, the numerator (14) is lesser than the denominator (100).

Only 2, 4 and 5 satisfy this condition.

Hence, 2,4 and 5 are proper fractions.

### Question 3

If Anu can eat 26 part of a medium pizza containing 6 slices, how many slices can Anu eat?

1

2

3

4

#### SOLUTION

Solution :B

No. of slices which Anu can eat = 26×6 =2 slices

### Question 4

State whether true or false- All the fractions can be expressed as mixed fractions.

True

False

#### SOLUTION

Solution :B

Only improper fractions can be expressed as mixed fractions.

### Question 5

Equivalent fractions are defined as the fractions that represent the

#### SOLUTION

Solution :Equivalent fractions are defined as the fractions that represent the same part of whole.

### Question 6

In the given number line, what is the fraction that point A denotes?

166

186

167

187

#### SOLUTION

Solution :D

Between 2 and 3, the line is divided into 7 parts.

We know, 2=147 and 3=217.

Thus, the divisions between 2 and 3 marked in the figure correspond to the fractions 157,167,177,187,197 and 207.∴ The point A corresponds to the fraction 187.

### Question 7

Add: 414 + 1353 =

241112

24712

24812

24912

#### SOLUTION

Solution :A

Let us first convert the mixed fraction 1353 to improper fraction.

i.e., 1353=13×3+53=443

Now, 414+1353=414+443=41×34×3+44×43×4=123+17612=29912=241112

### Question 8

The fractions which have same numerators are known as like fractions.

True

False

#### SOLUTION

Solution :B

The fractions which have same denominators are known as like fractions. Otherwise, they are known as unlike fractions

### Question 9

P = 78 and Q = 87 ; Which is greater P or Q?

Ans:

#### SOLUTION

Solution :Given that P = 78 and Q = 87

Let a = 7 ; b = 8; c = 8 and d = 7

We have a×d=7×7=49

b×c=8×8=64

Since a×d<b×c we have

Q > P

### Question 10

Determine the numerator and denominator in this fraction: 27

Numerator = 7; Denominator = 2

Numerator = 2; Denominator = 7

Numerator = 14; Denominator = 4

Numerator = 4; Denominator = 14

#### SOLUTION

Solution :B

This is the example of proper fraction.

The number above the line in a proper/improper fraction is called the numerator and the number below the line is called the denominator.

Hence, here the numerator 2 is and the denominator is 7.