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

Question 161. 5 hours and 15 minutes is equivalent to

5.15 hours
5.25 hours
5.30 hours
5.45hours

Discuss Question

Answer: Option B. -> 5.25 hours
:
B
60 minutes = 1 hour
1 minute =

\frac{1}{60}

hour

Therefore 15 minutes = \frac{1}{60} \times 15 = 0.25 hours

So, 5 hours and 15 minutes is
5 + 0.25 = 5.25 hours

Question 162. How would you write the number 45.79 in words?

Four thousand five hundred seventy nine
Four-five point seventy-nine
Forty five point seven nine
Forty five point seventynine

Discuss Question

Answer: Option C. -> Forty five point seven nine
:
C
The numbers left to the decimal are written in words like normal numbers but the numbers right to the decimal point are written as a digit at once.
So the given number in words will be, forty-five point seven nine

Question 163. 3.8

\times

6.7 =

25.46
254.6
11.5
2.546

Discuss Question

Answer: Option A. -> 25.46
:
A
The multiplication is shown as follows:

Here, the multiplicands have one decimal place each. So, the product should have 2 (i.e., 1+1) decimal places.
Hence 25.46 is the correct answer.

Question 164. In the given figure, there are 4 equal divisions between 1 and 2. What is the value of point A (in decimal)?

1.20
1.40
1.50
1.60

Discuss Question

Answer: Option C. -> 1.50
:
C
Since there are 4 divisions between 1 and 2, each division corresponds to the fraction

\frac{1}{4} .

But,

\frac{1}{4} = 0.25.

So, the point A represents the decimal

= 1 + 0.25 + 0.25 = 1.50

Question 165. Last year, my percentage was 90.89%. This year it is 90.98%. How much is the increase in my percentage?

0.11
0.01
0.19
0.09

Discuss Question

Answer: Option D. -> 0.09
:
D
The percentagehas increased because 90.98 is greater than 90.89. The increase is (90.98 - 90.89) = 0.09

Question 166. Convert

(5 + \frac{1}{10} + \frac{1}{10})

to decimal.

5.10
5.01
5.20
5.02

Discuss Question

Answer: Option C. -> 5.20
:
C

\frac{1}{10} = 0.1

So,

5 + 0.1 + 0.1 = 5.2 = 5.20

Question 167. I bought a pen for ₹5.50 and a notebook for ₹20.75 and paid the shopkeeper ₹30. What was the amount returned by the shopkeeper ?

₹1.75
₹2.75
₹ 3.75
₹4.75

Discuss Question

Answer: Option C. -> ₹ 3.75
:
C
Amount paid = ₹30
Total bill = ₹5.50 + ₹20.75 = ₹26.25
Amount returned by shopkeeper = ₹30 - ₹26.25 = ₹3.75

Question 168.

Solve $\frac{1}{3} - (\frac{5}{6} \times \frac{9}{18}) + \frac{2}{9}$ .

$\frac{4}{36}$
$\frac{5}{36}$
$\frac{6}{36}$
$\frac{7}{36}$

Discuss Question

Answer: Option B. ->

\frac{5}{36}

:
B

$\frac{1}{3} - (\frac{5}{6} \times \frac{9}{18}) + \frac{2}{9}$

$= \frac{1}{3} - (\frac{15}{36}) + \frac{2}{9}$

$= \frac{1}{3} - \frac{15}{36} + \frac{2}{9}$

Taking L.C.M of denominators, $\frac{12 - 15 + 8}{36} = \frac{5}{36}$

Question 169.

$\frac{1}{2} \times (1 + \frac{1}{4}) \times (1 + \frac{2}{4}) \times (1 + \frac{3}{4}) \times (1 + \frac{5}{4}$ ) is equal to:

$\frac{44}{256}$
$\frac{948}{255}$
$\frac{1890}{512}$
$\frac{945}{256}$

Discuss Question

Answer: Option C. ->

\frac{1890}{512}

:
C and D

$\frac{1}{2} \times (1 + \frac{1}{4}) \times (1 + \frac{2}{4}) \times (1 + \frac{3}{4}) \times (1 + \frac{5}{4}$ )

= $\frac{1}{2} \times \frac{5}{4} \times \frac{6}{4} \times \frac{7}{4} \times \frac{9}{4} = \frac{945}{256}$

Question 170.

Find the least fraction, which must be multiplied to $(1 \frac{2}{4} - \frac{1}{2} + 3 \frac{6}{16} - \frac{1}{16} + \frac{2}{8}$ ) to make it an integer.