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Solutions for Chapter 1: Fractions
Below listed, you can find solutions for Chapter 1 of Tamil Nadu Board of Secondary Education Samacheer Kalvi for Mathematics - Term 3 [English] Class 6 TN Board.
Samacheer Kalvi solutions for Mathematics - Term 3 [English] Class 6 TN Board 1 Fractions Exercise 1.1 [Pages 19 - 20]
Fill in the blanks
`7 3/4 + 6 1/2` = ___________
The sum of a whole number and a proper fraction is called __________
`5 1/3 - 3 1/2` = _________
`8 ÷ 1/2` = __________
The number which has its own reciprocal is __________
Say True or False
`3 1/2` can be written as `3 + 1/2`
True
False
The sum of any two proper fractions is always an improper fraction
True
False
The mixed fraction of `13/4` is `3 1/4`
True
False
The reciprocal of an improper fraction is always a proper fraction
True
False
`3 1/4 xx 3 1/4 = 9 1/16`
True
False
Answer the following:
Find the sum of `1/7` and `3/9`
What is the total of `3 1/3` and `4 1/6`?
Simplify : `1 3/5 + 5 4/7`
Find the difference between `8/9` and `2/7`
Subtract `1 3/5` from `2 1/3`
Simplify : `7 2/7 - 3 4/21`
Convert mixed fraction into improper fraction and vice versa:
`3 7/18`
Convert mixed fraction into improper fraction and vice versa:
`99/7`
Convert mixed fraction into improper fraction and vice versa:
`47/6`
Convert mixed fraction into improper fraction and vice versa:
`12 1/9`
Multiply the following:
`2/3 xx 6`
Multiply the following:
`8 1/3 xx 5`
Multiply the following:
`3/8 xx 4/5`
Multiply the following:
`3 5/7 xx 1 1/13`
Divide the following:
`3/7 ÷ 4`
Divide the following:
`4/3 ÷ 5/9`
Divide the following:
`4 1/5 ÷ 3 3/4`
Divide the following:
`9 2/3 ÷ 1 2/3`
Gowri purchased `3 1/2` kg of tomatoes, `3/4` kg of brinjal and `1 1/4` kg of onion. What is the total weight of the vegetables she bought?
An oil tin contains `3 3/4` litres of oil of which `2 1/2` litres of oil is used. How much oil is leftover?
Nilavan can walk `4 1/2` km in an hour. How much distance will he cover in `3 1/2` hours?
Ravi bought a curtain of length `15 3/4` m. If he cut the curtain into small pieces each of length `2 1/4` m, then how many small curtains will he get?
Objective Type Questions
Which of the following statement is incorrect?
`1/2 > 1/3`
`7/8 > 6/7`
`8/9 < 9/10`
`10/11 < 9/10`
The difference between `3/7` and `2/9` is
`13/63`
`1/9`
`1/7`
`9/16`
The reciprocal of `53/17` is
`53/17`
`5 3/17`
`17/53`
`3 5/17`
If `6/7 = "A"/49`, then the value of A is
42
36
25
48
Pugazh has been given four choices for his pocket money by his father. Which of the choices should he take in order to get the maximum money?
`2/3` of ₹ 150
`3/5` of ₹ 150
`4/5` of ₹ 150
`1/5` of ₹ 150
Samacheer Kalvi solutions for Mathematics - Term 3 [English] Class 6 TN Board 1 Fractions Exercise 1.2 [Pages 20 - 22]
Miscellaneous Practice problems
Sankari purchased `2 1/2` m cloth to stitch a long skirt and `1 3/4` m cloth to stitch blouse. If the cost is ₹ 120 per metre then find the cost of cloth purchased by her
From his office, a person wants to reach his house on foot which is at a distance of `5 3/4` km. If he had walked `2 1/2` km, how much distance still he has to walk to reach his house?
Which is smaller? The difference between `2 1/2` and `3 2/3` or the sum of `1 1/2` and `2 1/4`
Mangai bought `6 3/4` kg of apples. If Kalai bought `1 1/2` times as Mangai bought, then how many kilograms of apples did Kalai buy?
The length of the staircase is `5 1/2` m. If one step is set at `1/4` m, then how many steps will be there in the staircase?
Challenge Problems
By using the following clues, find who am I?
i) Each of my numerator and denominator is a single digit number.
ii) The sum of my numerator and denominator is a multiple of 3.
iii) The product of my numerator and denominator is a multiple of 4.
Add the difference between `1 1/3` and `3 1/6` and the difference between `4 1/6` and `2 1/3`
What fraction is to be subtracted from `9 3/7` to get `3 1/5`?
The sum of two fractions is `5 3/9`. If one of the fractions is `2 3/4`, find the other fraction
By what number should `3 1/16` be multiplied to get `9 3/16`?
Complete the fifth row in the Leibnitz triangle which is based on subtraction.
A painter painted `3/8` of the wall of which one third is painted in yellow colour. What fraction is the yellow colour of the entire wall?
A rabbit has to cover `26 1/4` m to fetch its food. If it covers `1 3/4` m in one jump, then how many jumps will it take to fetch its food?
Look at the picture and answer the following questions:
i) What is the distance from School to Library via Bus stop?
ii) What is the distance between School and Library via Hospital?
iii) Which is the shortest distance between (i) and (ii)?
iv) The distance between School and Hospital is ____________ times the distance between School and Bus stop.
Solutions for 1: Fractions
![Samacheer Kalvi solutions for Mathematics - Term 3 [English] Class 6 TN Board chapter 1 - Fractions Samacheer Kalvi solutions for Mathematics - Term 3 [English] Class 6 TN Board chapter 1 - Fractions - Shaalaa.com](/images/mathematics-term-3-english-class-6-tn-board_6:5f2b1b2038084cf381bfa42c826a928c.jpg)
Samacheer Kalvi solutions for Mathematics - Term 3 [English] Class 6 TN Board chapter 1 - Fractions
Shaalaa.com has the Tamil Nadu Board of Secondary Education Mathematics Mathematics - Term 3 [English] Class 6 TN Board Tamil Nadu Board of Secondary Education solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. Samacheer Kalvi solutions for Mathematics Mathematics - Term 3 [English] Class 6 TN Board Tamil Nadu Board of Secondary Education 1 (Fractions) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.
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Concepts covered in Mathematics - Term 3 [English] Class 6 TN Board chapter 1 Fractions are Subtraction of Fraction, Improper Fraction and Mixed Fraction, Multiplication of a Fraction by a Whole Number, Fraction as an Operator 'Of', Division of Fractions, Concept of Fractions, Concept of Equivalent Fractions, Comparing Fractions, Addition of Fraction, Multiplication of Fraction.
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