RMS- Sainik School Entrance Examination Class VI Revision- Test FREE Solved papers
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14 Oct 2015 Sainik Entrance Preparation
Mathematics Chapter Fractions:
1.
What is a fraction?
2.
What are the types of fractions
3.
Give one example each
4.
Addition of fractions
5.
Subtraction of fractions
6.
Multiplication of fractions
7.
Division of Fractions
What is a fraction?
Fraction means Part of a whole: Like 1, 1/2, 1/4, 1/8, 1/16 ect
It means One is divided into two parts- ½
If One is divided into 4 parts it is known as ¼
What are the type of
Fractions:-
a) Like
Fraction---------------------------------------------eg: Same
Denominator-------- 2/6, 1/6, 3/6
b) Unlike
Fraction------------------------------------------eg: Different
Denominators—1/2, 2/3, 3/4
c) Equivalent
Fraction------------------------------------eg: Represents the same amount: ½,
2/4, 3/6
d) Proper Fraction-----------------------------------------eg:
Numerator less than Denominator- ¾, 7/8
e) Improper Fraction--------------------------------------eg:
Denominator less than Numerator- 7/4,3/2
f) Mixed Fraction------------------------------------------eg:
Whole number combined with fractions: 1 ¾
Comparing Fractions:
1) Same
Denominators - 5/8
> 3/8
Compare the numerators Greater
the numerator, Bigger the fraction
2) Same
Numerators - 1/8 < 1/6
Compare the Denominator Greater
the denominator, Smaller the
fraction.
3) Proper
Fraction - 1/2 <
2/3
Convert to like fractions LCM of 2 and 3= 6
1*3 =
3/6 and 2*2 =
4/6
2*3
3*2
Compare
numerators = 3/6 < 4/6
4) Improper
Fraction - 8/7 <
3/2
Convert to like fractions LCM of 7 and 2 = 14
8*2 = 16/14 and
3*7 = 21/14
7*2
2*7
Compare the numerators = 16/14
< 21/14
Like Fractions
2/6 + 1/6 = 3/6 = 1/2
Add the
Numerators
Unlike Fractions
1/2 + 2/3
= 1
1/6
Convert to like fractions:
·
LCM of 2 and 3 = 6
·
Multiply both Fractions with a number to get
denominator as 6
1/2 * 3/3 + 2/3 *2/2
= 3/6 + 4/6 =
7/6 = 1 1/6
Word Problems:-
Peter uses quick
fix glue to hold a bamboo rod. One piece of the rod measures 1 meters and
another piece measures 2 meters. What
is the total length of bamboo rod after it has been glued together? Answer: 3
13/ 15
Peter uses quick
fix glue to hold a bamboo rod. One piece of the rod measures 1 meters and
another piece measures 2 meters. What
is the total length of bamboo rod after it has been glued together? Answer:
___________________
Simpson takes 2 and 5/6 litres of water before noon and 1 3/4 litres of water after noon. How many litres
of water does Simpson consume a day?
Answer:
___________________ 4 and 7/12 litres
Karan covers
2 miles by walking and 5 miles by bike. Find the total distance
covered by Karan. Answer: ___________________ Sam works 8 hours in day 1 and
7 hours in day 2. How many hours does he
work in both days? Answer: _________________8 and 1/8 miles
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