Question 1 :
Classify the values given below as proper fraction, improper fraction and mixed fraction.
2/3, 5/2, 5½, 7/8, 0.2, 1.3
Question 2 :
Write down five fractions equivalent to 2/3.
Question 3 :
Write down 1¾ in five different ways, including at least one improper fraction.
Question 4 :
Share a chocolate bar with 32 pieces, equally between four friends. Write down the fraction they each receive in five different ways.
Question 5 :
Write 7 as a fraction in five different ways.
Question 6 :
How many thirds make 5 whole ones?
Question 7 :
Convert the mixed fraction 2⅗ to an improper fraction.
Question 8 :
Convert the improper fraction 17/5 to a mixed fraction.
Question 9 :
Represent the following fractions on a number line.
3/5, 11/12 and 7/10
Question 10 :
The denominator of a fraction exceeds the numerator by 5. If 3 be added to both, the fraction becomes 3/4. Find the fraction.
1. Answer :
2/3, 5/2, 5½, 7/8, 0.2, 1.3
2/3 -----> Proper fraction
5/2 -----> Improper fraction
5½ -----> Mixed fraction
7/8 -----> Proper fraction
0.3 = 3/10 -----> Proper fraction
1.3 = 13/10 -----> Improper fraction
2. Answer :
Multiply the numerator and denominator of the fraction 2/3 by 2, 3, 4, 5 and 6 to get five fractions which are equivalent to 2/3.
3. Answer :
Multiply the numerator and denominator of the fractional part of 1¾ by 2, 3, 4, and 5 to write down 1¾ in four different ways.
To get an improper fraction which is equivalent to 1¾, multiply the whole number 1 by the denominator 4 then add the numerator before writing it all over the denominator.
In this way, we can down 1¾ in five different ways, including at one improper fraction as shown below.
4. Answer :
A chocolate bar is divided into 32 pieces and those 32 pieces are divided among four friends.
Number of pieces each friend gets :
= 32 ÷ 4
= 8
Each friend gets 4 out of 32 pieces.
= 8 ÷ 32
= 1/4
Each friend gets 1/8 part of the chocolate bar.
We can multiply the numerator and denominator of the fraction 1/4 by 2, 3, 4, 5 and 6 to write down the fraction they each receive in five different ways.
5. Answer :
We can write any integer as a fraction by taking the denominator as 1.
So, the first way to write 7 as a fraction is 7/1.
Further, we can multiply the numerator and denominator of the fraction 7/1 by 2, 3, 4 and 5 to write 7/1 in four more different ways.
In this way, we can write 7 as a fraction in five different ways as shown below.
6. Answer :
One third = 1/3
We need 3 thirds to make 1 whole one.
1 whole one = 3 thirds
5 whole ones = 5(3 thirds)
= 15 thirds
15 thirds make 5 whole ones.
7. Answer :
We can convert the mixed fraction 2⅗ to an improper fraction as shown below.
2⅗ = 13/5
8. Answer :
We can convert the improper fraction 17/5 to a mixed fraction as shown below.
17/5 = 3⅖
9. Answer :
10. Answer :
Let x be the numerator.
Given : The denominator of the fraction exceeds the numerator by 5.
From the above information,
fraction = x/(x + 5) ----(1)
Given : If 3 be added to both, the fraction becomes 3/4.
From the above information, we have
(x + 3)/(x + 5 + 3) = 3/4
Simplify.
(x + 3)/(x + 8) = 3/4
4(x + 3) = 3(x + 8)
4x + 12 = 3x + 24
x = 12
Substitute x =12 in (1).
fraction = 12/(12 + 5)
= 12/17
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