Fractions And Decimals(7th Grade > Mathematics ) Questions and answers for exam Preparation

7th Grade > Mathematics

FRACTIONS AND DECIMALS MCQs

Fractions, Decimals

Total Questions : 227 | Page 10 of 23 pages

(60 \times 0.06 \times 6) - (0.0006 \times 600 \times 0.6)

is equal to:

21.384
213.84
2.1834
20.484

Discuss Question

Answer: Option A. -> 21.384
:
A

(60 \times 0.06 \times 6) - (0.0006 \times 600 \times 0.6)

= (21.6) - (0.216)

= 21.384

Question 92. 4 kg of fruits are shared equally among 5 children. How many grams of fruits does each child get?

700 g
800 g
80 g
70 g

Discuss Question

Answer: Option B. -> 800 g
:
B
Total weightof fruits = 4 kg
Total number of children among whom the fruits are to be shared equally= 5
Thus, the total quantityof fruits each child would get =

\frac{4}{5} kg

\frac{4}{5}

\times 1000 grams

\frac{4000}{5} g

= 800 g

Question 93.

(12.4 + 9.6) \times (0.1 + 0.001)

_____

(1.24 \times 10.96) \times 0.2

>
=
can't say

Discuss Question

Answer: Option B. -> 800 g
:
B

(12.4 + 9.6) \times (0.1 + 0.001)

= 22.0 \times 0.101

= 2.222

And,

(1.24 \times 10.96) \times 0.2

= 13.59 \times 0.2

= 2.718

2.718

is greater than

2.222

Therefore,

(12.4 + 9.6) \times (0.1 + 0.001)

(1.24 \times 10.96) \times 0.2

Question 94. Which of the given option is the simplest form of

\frac{13860}{18480}

Discuss Question

Answer: Option B. -> 34
:
B
In order to reduce a fraction to its lowest terms, divide both numerator and denominator by their common factor.

\frac{\frac{13860}{10}}{\frac{18480}{10}} = \frac{1386}{1848}

\frac{\frac{1386}{3}}{\frac{1848}{3}} = \frac{462}{616}

\frac{\frac{462}{11}}{\frac{616}{11}} = \frac{42}{56}

\frac{\frac{42}{7}}{\frac{56}{7}} = \frac{6}{8} = \frac{3}{4}

Question 95.
a

\frac{b}{c}

is called a/an ____ and is equal to ____.

proper fraction, bc
improper fraction, a÷bc
mixed fraction, a×bc
mixed fraction, a+bc

Discuss Question

Answer: Option D. -> mixed fraction, a+bc
:
D

a \frac{b}{c}

is called a mixed fraction.
Here, 'a' is whole number part and

\frac{b}{c}

is thefractional part.
e.g.

2 \frac{3}{4}

5 \frac{1}{6}

a \frac{b}{c} = a + \frac{b}{c}

e.g:

2 \frac{3}{4} =

2 + \frac{3}{4}

Question 96. A fraction is ______.

the ratio of the total number of parts to the number of parts considered.
the ratio of the number of parts considered to the total number of parts.
never a whole part
always a whole part

Discuss Question

Answer: Option B. -> the ratio of the number of parts considered to the total number of parts.
:
B
Consider the following example.
Suppose you have a pizza.
Divide the whole pizza into

4

parts.
Now, take

3

parts out of the

4

parts.
These

3

parts represent the fraction

3

out of

4

, i.e.,

\frac{3}{4}

.
i.e., a fraction is the ratioof the number of divisions considered to the total number of divisions.

Question 97. Convert

\frac{6}{12}

\frac{1}{4}

and

\frac{6}{3}

into like fractions.

512, 312, 2412
612, 212, 2412
612, 312, 2012
612, 312, 2412

Discuss Question

Answer: Option D. -> 612, 312, 2412
:
D
In order to convert the fractions into like fractions, find the L.C.M of denominators of given fractions.
Then convert each fraction into an equivalent fraction having denominator as the L.C.M of the denominators of the given fractions.

L.C.M of [12, 4, 3] = 12

\frac{6}{12} = \frac{6 \times 1}{12 \times 1} = \frac{6}{12}

\frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12}

\frac{6}{3} = \frac{6 \times 4}{3 \times 4} = \frac{24}{12}

Question 98. Find the value of a if,

3 \frac{a}{4} = \frac{15}{4}

Discuss Question

Answer: Option A. -> 3
:
A

3 \frac{a}{4}

is a mixed fraction.

3 \frac{a}{4} =

\frac{(3 \times 4) + a}{4} =

\frac{12 + a}{4}

Given,

\frac{(12 + a)}{4}

\frac{15}{4}

Comparing the numerator gives, (12 + a) =15
Therefore, a = (15 - 12) = 3

Question 99. _____ is a fraction between

\frac{2}{9}

and

\frac{6}{19}

1224
610
828
3240

Discuss Question

Answer: Option C. -> 828
:
C
One fraction exisiting between

\frac{a}{b}

and

\frac{c}{d}

\frac{a + c}{b + d}

.
Here, we have to insert a fraction between

\frac{2}{9}

and

\frac{6}{19}

a = 2, b = 9, c = 6 and d = 19

One fraction exisiting between them is:

\frac{2 + 6}{9 + 19}

\frac{8}{28}

Question 100. Which of the following is correct about improper fractions?

In an improper fraction, the numerator is less than denominator and numerator is greater than 0.
In an improper fraction, the numerator is always greater than the denominator.
In an improper fraction, the numerator is greater than the denominator and denominator should not be equal to zero.
In an improper fraction, the numerator is always equal to the denominator.

Discuss Question

Answer: Option C. -> In an improper fraction, the numerator is greater than the denominator and denominator should not be equal to zero.
:
C
In an improper fraction, the numerator is greater than the denominator and denominator should not be equal to zero.
e.g.