FRACTIONS WORKSHEET

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 2 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.

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

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.

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.

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.

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.

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.

We can convert the mixed fraction 2 to an improper fraction as shown below.

2⅗ = 13/5

We can convert the improper fraction 17/5 to a mixed fraction as shown below.

17/5 = 3

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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