ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 6 Fractions Ex 6.7

Question 1.
Sarita bought \(\frac{2}{5}\) metre of ribbon and Laiita \(\frac{3}{4}\) metre of ribbon. What is the total length of the ribbon they bought?
Solution:
Ribbon bought by Sarita = \(\frac{2}{5}\) m
Ribbon bought by Lai ita = \(\frac{3}{4}\) m
∴ Total length of the ribbon they bought
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 6 Fractions Ex 6.7 1

Question 2.
A bamboo of length \(2 \frac{3}{4}\) metre broke into two pieces. One piece was \(\frac{7}{8}\) metre long. How long is the other piece?
Solution:
Let of original piece of bamboo = \(2 \frac{3}{4}\) = \(\frac{11}{4}\) metre
Length of one piece = \(\frac{7}{8}\) metre
Length of other piece = \(\frac{7}{8}\) metre – \(\frac{7}{8}\) metre
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 6 Fractions Ex 6.7 2

Question 3.
Nidhi’s house is \(1 \frac{9}{10}\) km from her school. She walked some distance and then took a bus for \(1 \frac{1}{2}\) km to reach the school. How far did she walk?
Solution:
Distance of Nidhi’s house from school
\(=1 \frac{9}{10} \mathrm{km}=\frac{19}{10} \mathrm{km}\)
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 6 Fractions Ex 6.7 3

Question 4.
From a rope of length \(20 \frac{1}{2}\) m, a piece of length \(3 \frac{5}{8}\) m is cut off. Find the length of the remaining rope.
Solution:
Total length of rope = \(20 \frac{1}{2}\) m
Length cut off = \(3 \frac{5}{8}\) m
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 6 Fractions Ex 6.7 4
∴ Length of the remaining rope = \(16 \frac{7}{8}\) m

Question 5.
The weight of three packets are \(2 \frac{3}{4}\) kg. \(3 \frac{1}{3}\) kg. and \(5 \frac{2}{5}\) kg. Find total weight of all the three packets.
Solution:
Weight of 1st packet = \(2 \frac{3}{4}\)
Weight of 2nd packet = \(3 \frac{1}{3}\)
Weight of 3rd packet = \(5 \frac{2}{5}\)
∴ Total weight
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 6 Fractions Ex 6.7 5

Question 6.
Shivani read 25 pages of a book containing 100 pages. Nandni read \(\frac{2}{5}\) of the same book. Who read less?
Solution:
Shivani read pages = \(\frac{25}{100}=\frac{1}{4}\)
Nandni read pages = \(\frac{2}{5}\)
Now, LCM of 4 and 5 = 20
Making \(\frac{1}{4} \text { and } \frac{2}{5}\) as like fractions
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 6 Fractions Ex 6.7 6
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 6 Fractions Ex 6.7 7
∴ Shivani read less pages than Nandni.

Question 7.
Rafiq exercised for \(\frac{3}{6}\) of an hour, while Rohit, exercised for \(\frac{3}{4}\) of an hour. Who exercised for a longer time and by what fraction of an hour?
Solution:
Rafiq exercised for \(\frac{3}{6}\) of an hour
= \(\frac{1}{2}\) of an hour
Rohit exercised for \(\frac{3}{4}\) of an hour
= \(\frac{3}{4}\) of an hour
LCM of 2 and 4 = 4
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 6 Fractions Ex 6.7 8
Rafiq’s exercise < Rohit’s exercise
More exercise done by Rohit in fraction
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 6 Fractions Ex 6.7 9
Rohit does exercise more then Rafiq by \(\frac{1}{4}\) of an hour.

ML Aggarwal Class 6 Solutions for ICSE Maths

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