Free Fractions 03 Practice Test - 6th grade

Question 1

If you subtract $\frac{35}{9}$ from $\frac{53}{9}$ , you will get -

$\frac{1}{2}$

$\frac{1}{3}$

SOLUTION

Solution : B

The fractions $\frac{35}{9}$ and $\frac{53}{9}$ are like fractions, as they have same denominator.

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

$\frac{53}{9} - \frac{35}{9} = \frac{53 - 35}{9} = \frac{18}{9} = 2$

Question 2

Identify the proper fractions from the following:

1. $\frac{11}{7}$

2. $\frac{3}{7}$

3. $\frac{999}{99}$

4. $\frac{114}{788}$

5. $\frac{14}{100}$

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 $\frac{2}{6}$ part of a medium pizza containing 6 slices, how many slices can Anu eat?

SOLUTION

Solution : B

No. of slices which Anu can eat = $\frac{2}{6} \times 6$ =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 __ part of whole.

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?

$\frac{16}{6}$

$\frac{18}{6}$

$\frac{16}{7}$

$\frac{18}{7}$

SOLUTION

Solution : D

Between 2 and 3, the line is divided into 7 parts.
We know, $2 = \frac{14}{7}$ and $3 = \frac{21}{7} .$
Thus, the divisions between 2 and 3 marked in the figure correspond to the fractions $\frac{15}{7}, \frac{16}{7}, \frac{17}{7}, \frac{18}{7}, \frac{19}{7}$ and $\frac{20}{7} .$

$∴$ The point A corresponds to the fraction $\frac{18}{7} .$

Question 7

Add: $\frac{41}{4}$ + $13 \frac{5}{3}$ =

$24 \frac{11}{12}$

$24 \frac{7}{12}$

$24 \frac{8}{12}$

$24 \frac{9}{12}$

SOLUTION

Solution : A

Let us first convert the mixed fraction $13 \frac{5}{3}$ to improper fraction.
i.e., $13 \frac{5}{3} = \frac{13 \times 3 + 5}{3} = \frac{44}{3}$
Now, $\frac{41}{4} + 13 \frac{5}{3} = \frac{41}{4} + \frac{44}{3} = \frac{41 \times 3}{4 \times 3} + \frac{44 \times 4}{3 \times 4} = \frac{123 + 176}{12} = \frac{299}{12} = 24 \frac{11}{12}$

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 = $\frac{7}{8}$ and Q = $\frac{8}{7}$ ; Which is greater P or Q?
Ans: ___.

SOLUTION

Solution :
Given that P = $\frac{7}{8}$ and Q = $\frac{8}{7}$
Let a = 7 ; b = 8; c = 8 and d = 7
We have $a \times d = 7 \times 7 = 49$
$b \times c = 8 \times 8 = 64$
Since $a \times d < b \times c$ we have
Q > P

Question 10

Determine the numerator and denominator in this fraction: $\frac{2}{7}$

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.

Free Fractions 03 Practice Test - 6th grade

Question 1

SOLUTION

Question 2

SOLUTION

Question 3

SOLUTION

Question 4

SOLUTION

Question 5

SOLUTION

Question 6

SOLUTION

Question 7

SOLUTION

Question 8

SOLUTION

Question 9

SOLUTION

Question 10

SOLUTION

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Symmetry 03
Practical Geometry 03
Mensuration 02