# Free Fractions 02 Practice Test - 6th grade

1017+997=

A.

1987

B.

1997

C.

2007

D.

2017

#### SOLUTION

Solution : C

1017 and 997 are like fractions as they have the same denominator.
Hence, we can directly add the numerators keeping the denominator as it is.
1017+997=101+997=2007

State whether True or False - When you divide a whole into parts, the result is a proper fraction.

A.

True

B.

False

#### SOLUTION

Solution : A

A proper fraction is a number that represents part of a whole.

If a train consists of 24 compartments of equal length (including the engine car), then the length of one compartment is 124 of the full length of the train

A.

True

B.

False

#### SOLUTION

Solution : A

Let us take the full length of the train as L.

24 compartments---------------L

1 compartment--------------= 124×L

Improper fraction is defined as the fraction whose numerator is __ than its denominator.

#### SOLUTION

Solution :

When numerator of a fraction is greater than its denominator, it is known as the improper fraction.

If 97 and a63 are equivalent fractions, what is the value of a ?

__

#### SOLUTION

Solution :

If 97 and a63 are equivalent fractions,then 9 x 63 = a x 7.

Solving, we get a = 81.

Between 58 and 118, how many fractions lie on the number line?

A.

5

B.

6

C.

7

D.

Infinite

#### SOLUTION

Solution : D

There are infinite fractions on a number line. The two fractions given in the question are two points on the number line. Between these two points, there exists infinite points. So, infinite fractions exist between two points on a number line.

If you subtract 1553 from 1732, you will get

A.

156

B.

167

C.

176

D.

186

#### SOLUTION

Solution : A

Let us first convert the mixed fractions 1553 and 1732 to improper fractions.
i.e.,  1553=15×3+53=503 and 1732=17×2+33=372
Now, 17321553=372503=1111006=116=156

Find which of the following are the pairs of like fractions:

1. 4560 and 4590

2. 157 and 957

3. 117 and 99937

4. 32 and 23

A.

1, 2 and 3

B.

2 and 3

C.

1 and 3

D.

2, 3 and 4

#### SOLUTION

Solution : B

For like fractions, the denominators should be the same.

In a 5 km marathon, Manish ran 2 km. If Kushagra ran 12 of the total distance of the marathon, who ran more?

A.

Kushagra

B.

Manish

C.

Both covered the same distance

D.

Insufficient data

#### SOLUTION

Solution : A

Total distance to be covered =  5 km

Distance covered by Manish = 2 km

Fraction of the distance covered by Manish
25

Fraction of the distance covered by Kushagra =12

To compare these fractions, we write them as like fractions.

25=2×25×2=410

12=1×52×5=510

Since 410<510,

25<12

Therefore, Kushagra ran more.

There are  40 animals in a zoo out of which 10 animals have been recently transferred from another zoo. What is the fraction of animals that were already present at the zoo?

A.

14

B.

24

C.

34

D.

44

#### SOLUTION

Solution : C

Old animals = 40 - 10 = 30

Fraction of old animals presently in the zoo = 3040=34