# Free Fractions 01 Practice Test - 6th grade

If 5 of your friends ate one slice each from a medium pizza containing 6 equal slices, what will be the fraction of the pizza left over?

A.

(56)th

B.

(36)th

C.

(16)th

D.

(46)th

#### SOLUTION

Solution : C

Total number of slices = 6
Number of slices ate by friends = 5
So, the fraction of pizza ate by friends = 56
We know that,
Fraction of pizza ate by friends + Fraction of left over pizza = 1
Fraction of left over pizza
= 1 - Fraction of pizza ate by friends
=156
=6656
=656
=16

Which of the following fractions lies between 38 and 78 on the number line?

A.

12

B.

14

C.

2016

D.

98

#### SOLUTION

Solution : A

Converting the given fractions into equivalent fractions with denominator 8, we have

1×42×4=48

1×24×2=28

9×18×1=98

20÷216÷2=108

Since 3<4<8, we have 38<48<78
i.e., 38<12<78

Thus, 12 lies between 38 and 78.

553+752 = ____

A.

1567

B.

1616

C.

1476

D.

1716

#### SOLUTION

Solution : B

553=5×3+53=203 and

752=7×2+52=192

Thus, 553+752=(203+192)

=20×23×2+19×32×3

=40+576

=976

=1616

State whether true or false- Two equivalent fractions can never be like fractions.

A.

True

B.

False

#### SOLUTION

Solution : A

Two equivalent fractions can never have same denominators. And like fractions have same denominators. So, two equivalent fractions can never be like fractions.

In a zoo, 45 birds out of 150 are migratory. 35 of the total birds are of the Indian origin. Which kind of birds are greater in number in the zoo?

A.

Migratory birds

B.

Indian birds

C.

Both are same in number

D.

Data Insufficient

#### SOLUTION

Solution : B

Fraction of migratory birds =45150=310

Fraction of birds of Indian origin
=35=610 ...(equivalent fractions)

And, we know, 610>310.

The Indian origin birds are greater in number in the zoo.

What is the fraction of students who failed in Maths exam if the total number of students who appeared in the exam was 65 and the number of students who passed is 57?

A.

6557

B.

857

C.

5765

D.

865

#### SOLUTION

Solution : D

No. of students failed = 65 - 57 = 8

Fraction of students who failed = 865

Subtract 57 from 137

A.

1

B.

67

C.

87

D.

97

#### SOLUTION

Solution : C

The fractions having same denominators are called like fractions.
Numerators are subtracted directly keeping the denominator common for like fractions.
So, 13757=1357            =87

If there are two equivalent fractions, there simplest forms will be __.

#### SOLUTION

Solution :

If there are two equivalent fractions, their simplest forms are equal. E.g. 4560 and 1520 are

equivalent fractions. Both their simplest form is 34.

A proper fraction is ___.

A.

a fraction in which the numerator is lesser than the denominator

B.

a fraction in which the numerator is greater than the denominator

C.

a number that represents part of a whole

D. an integer

#### SOLUTION

Solution : A and C

A proper fraction is a number that represents part of a whole. So, it is a fraction in which the numerator is lesser than the denominator.

If 99913 is represented in form of ab13, then the values of a and b are:

A.

a=91 and b=11

B. a=76 and b=11
C. a=72 and b=13
D. a=76 and b=13

#### SOLUTION

Solution : B

We have 99913=761113
a=76 and b=11