Sunday, 15 April 2012

CBSE Class 6th ( VI) Mathematics Chapter 7. Fractions: Exercise 7.6

Things to remember.....

    1.  A fraction is a number representing a part of a whole. The whole may be a single object or a group of objects.
    2. When expressing a situation of counting parts to write a fraction, it must be ensured that all parts are equal.
  1. In   5/7 ,   5 is called the numerator and 7 is called the denominator.
  2. Fractions can be shown on a number line. Every fraction has a point associated with it on the number line.
  3. In a proper fraction, the numerator is less than the denominator. The fractions, where the numerator is greater than the denominator are called improper fractions. An improper fraction can be written as a combination of a whole and a part, and such fraction then called mixed fractions.
  4. Each proper or improper fraction has many equivalent fractions. To find an equivalent fraction of a given fraction, we may multiply or divide both the numerator and the denominator of the given fraction by the same number.
  5. A fraction is said to be in the simplest (or lowest) form if its numerator and the denominator have no common factor except 1.
1. Solve :













 Answer:

272×51×314+317
a.
+
=
+
=
=
3153×57×32121
373×37×29+1423
b.
+
=
+
=
=
101510×315×23030
424×72×928+1846
c.
+
=
+
=
=
973×77×96363
515×31×715+722
d.
+
=
+
=
=
737×33×7212
212×61×612+517
e.
+
=
+
=
=
565×66×53030
424×32×512+1022
f.
+
=
+
=
=
535×33×51515
313×31×49-45
g.
+
=
+
=
=
434×33×41212
515×31×615-65
h.
+
=
+
=
=
636×33×61818
2312×43×31×68+9+623
i.
+
+
=
+
=
=
=
3423×44×32×61212
2111×31×21×13+2+16
j.
+
+
=
+
=
=
=
=1
3322×33×2666
12121+24+37
k.1
+3
=1+3+(
+
)=4+(
)=
= (
)
3333333
21141314×413×356+3995
l.4
+3
=
+
=
+
=
=
34343×44×31212
16716×57×580-3545÷59
m.
+
=
+
=
=
=
555×55×52525÷55
414×21×28-35
n.
+
=
+
=
=
323×23×266
2.  Sarita bought 2/5 metre of ribbon and Lalita 3/4 metre of ribbon. What is the total length of the ribbon they bought? Answer:
2
The metre length of ribbon, Sarita bought =
5
3
The metre length of ribbon lalita bought =
4
232×43×581513
Total length of ribbon they bought =
+
=
+
=
+
=
545×44×5202020
3.  Naina was given 1 (1/2) piece of cake and Najma was given 1 (1/3) piece of cake. Find the total amount of cake was given to both of them. Answer:
1
The piece of cake, Naina given= 1
2
1
The piece of cake, Najma given = 1
3
11343×34×2175
The total amount of cake was
given to both of them =
1
+1
=
+
=
+
=
= 2
23232×33×266

 4. Fill in the boxes. 





Answer:





5. Complete the addition-subtraction box.








Answer:








6. A piece of wire 7/8 metre long broke into two pieces. One piece was 1/4 metre long. How long is the other piece? Answer:
7
The length of wire=
m
8
1
The lenth of one broken piece of wire =
m
4
717×11×2727-25
The length of other wire =
-
=
-
=
-
=
=
848×14×28888
7. Nandini’s house is 9/10 km from her school. She walked some distance and then took a bus for 1/2 km to reach the school. How far did she walk? Answer:
9
Distance of school from Nadinis house=
km
10
1
Distance travelled by bus =
km
2
919×11×59542
Distance she walked =
-
=
-
=
-
=
=
km
10210101010105
8.  Asha and Samuel have bookshelves of the same size partly filled with books. Asha’s shelf is 5/6 th full and Samuel’s shelf is 2/5 th full. Whose bookshelf is more full? By what fraction? Answer:
Fraction of Asha's shelf filled with books
5
=
6
Fraction of Samual shelf filled with books
2
=
5
For Comparing we have to first find LCM of denominator of given fractions i.e.6, 5, which is 30 , using LCM we can find equivalent fractions of 5/6 and 2/5 with same denominator 30, which can compared easily
55×52522×612
=
=
=
,
=
=
66×5
30
55×630
9. Jaidev takes 2 1/5to walk across the school ground. Rahul takes 7/4 min to do the same. Who takes less time and by what fraction? Answer:
111
Time taken by jaidev to walk across the ground=2
=
min
55
7
Time taken by Rahul to walk across the ground=
min
4
11711×47×54435
Comparing fraction of time for both
,
::
,
::
,
545×44×52020
3544
Clearly
<
2020
443544-359
∴Rahul takes less time by fraction =
=
=
=
min
2020 2020

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