RBSE Class 6 Maths Important Questions Chapter 7 Fractions

Rajasthan Board RBSE Class 6 Maths Important Questions Chapter 7 Fractions Important Questions and Answers.

RBSE Class 6 Maths Chapter 7 Important Questions Fractions

Multiple Choice Questions

Question 1.
If \(\frac{3}{4}\) is equivalent to \(\frac{x}{28}\) then the value of x is:
(a) 6
(b) 7
(c) 8
(d) 21
Answer:
(d) 21

Question 2.
\(\frac{34}{13}\) is an example of:
(a) Proper fraction
(b) Improper fraction
(c) Mixed fraction
(d) None of these
Answer:
(b) Improper fraction

Question 3.
The smallest of the fractions \(\frac{3}{5}, \frac{2}{3}, \frac{5}{6}, \frac{7}{10}\)
(a) \(\frac{2}{3}\)
(b) \(\frac{3}{5}\)
(c) \(\frac{5}{6}\)
(d) \(\frac{7}{10}\)
Answer:
(b) \(\frac{3}{5}\)

Question 4. 
If __________ - \(\frac{5}{8}=\frac{1}{4}\) then the correct fraction in the box is:
(a) \(\frac{6}{8}\)
(b) \(\frac{7}{8}\)
(c) \(\frac{1}{2}\)
(d) None of these
Answer:
(b) \(\frac{7}{8}\)

Question 5.
If \(\frac{11}{4} = \frac{77}{x}\),then the x:
(a) 28
(b) \(\frac{77}{28}\)
(c) 44
(d) 308
Answer:
(a) 28

Question 6.
The fraction to be added to 6\(\frac{7}{15}\) to get 8\(\frac{1}{5}\) is equal to:
(a) \(\frac{11}{15}\)
(b) 1\(\frac{11}{15}\)
(c) \(\frac{44}{3} \)
(d) \(\frac{3}{44}\)
Answer:
(b) 1\(\frac{11}{15}\) 

Question 7.
\(\frac{1}{3}+\frac{1}{x}\) = 3, then x = ?
(a) \(\frac{7}{3}\)
(b) \(\frac{3}{8} \)
(c) \(\frac{4}{3} \)
(d) \(\frac{8}{3}\)
Answer:
(b) \(\frac{3}{8} \)

Question 8.
If \(\frac{a}{b}=\frac{4}{3}\), then the value of \(\frac{6 a+4 b}{6 a-5 b}\) is:
(a) -1
(b) 3
(c) 4
(d) 5
Answer:
(c) 4

Fill in the Blanks

Question 1.
A number representing a part of __________ is called a fraction.
Answer:
whole

Question 2.
An improper fraction is always __________ than 1.
Answer:
greater

Question 3.
A proper fraction is always less than __________
Answer:
one

Question 4.
There are __________ fractions between any two whole numbers.
Answer:
infinite

Question 5.
For comparing unlike fraction, we make their denominator same, i.e. equal to of the denominators of the fractions.
Answer:
LCM.

State whether True or False

Question 1.
Fractions with same numerator are called like fractions.
Answer:
False

Question 2.
Fraction \(\frac{18}{39}\) is in its lowest form.
Answer:
False

Question 3.
\(\frac{a}{b}\) and \(\frac{c}{d}\)
Answer:
True

Question 4.
Unlike fractions can be compared only by converting them into like fractions.
Answer:
False

Very Short Answer Type Questions

Question 1. 
What fraction of 1 km in 200 m?
Answer:
∵ 1km = 1000m
∴ 200m in 1 km = \(\frac{200}{1000}=\frac{1}{5}\)

Question 2.
Represent number line \(\frac{0}{10}, \frac{1}{10}, \frac{5}{10}\) and \(\frac{10}{10}\)
Answer:
For representing true fraction on number line, we divide the gap between 0 and 1 into 10 equal parts.

Short Answer Type Questions

Question 1.
Find the equivalent fraction of having
(i) Numerator 9.
Answer:
Consider the numerator = 9
As 3 x 3 = 9, so we multiply the numerator and denominator by 3, we have
\(\frac{3}{5}=\frac{3 \times 3}{5 \times 3}=\frac{9}{15}\)

(ii) Denominator 30. 
Answer:
Consider the denominator = 30
As 5 × 6 = 30, so we multiply both numerator and denominator by 6, we have
\(\frac{3}{5}=\frac{3 \times 6}{5 \times 6}=\frac{18}{30}\)

Question 2.
Mr. Raj an got a job at the age of 24 years and he got retired from the job at the age of 60 years. What fraction of his age till retirement was he in the job?
Answer:
Mr. Rajan started the job at the age of = 24 years
He got retired at the age of 60 years,
∵ Number of years of service = (60 - 24) years
= 36 years
Fraction of years he was in the job 
= \(\frac{36}{60}=\frac{3}{5}\)
 
Question 3.
Akash had 2\(\frac{1}{2}\)l of milk. He gave \(\frac{3}{2}\)l to his sister. How much milk is left with him?
Answer:
Quantity of milk Akash had = 2\(\frac{1}{2}\)l = \(\frac{5}{2}\)l
Quantity of milk he gave to his sister = \(\frac{3}{2}\)l
∴ Quantity of milk left with Akash 
= \(\frac{5}{2}-\frac{3}{2}=\frac{5-3}{2}=\frac{2}{2}\) = 1l