# Free Fractions 03 Practice Test - 6th grade

If you subtract 359 from 539 , you will get -

A.

12

B.

2

C.

13

D.

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.

539359=53359             =189             =2

Identify the proper fractions from the following:

1. 117

2. 37

3. 99999

4. 114788

5. 14100

A.

1, 2 and 4

B.

2, 3 and 5

C.

2, 4 and 5

D.

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.

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

A.

1

B.

2

C.

3

D.

4

#### SOLUTION

Solution : B

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

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

A.

True

B.

False

#### SOLUTION

Solution : B

Only improper fractions can be expressed as mixed fractions.

Equivalent fractions are defined as the fractions that represent the __ part of whole.

#### SOLUTION

Solution :

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

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

A.

166

B.

186

C.

167

D.

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.

A.

241112

B.

24712

C.

24812

D.

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

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

A.

True

B.

False

#### SOLUTION

Solution : B

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

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

Determine the numerator and denominator in this fraction: 27

A.

Numerator = 7; Denominator = 2

B.

Numerator = 2; Denominator = 7

C.

Numerator = 14; Denominator = 4

D.

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.