Word Problems with Rational Numbers Examples :
Here we are going to see some example problems of solving word problems with rational numbers.
In a recipe making, every 1 1/2 cup of rice requires 2 3/4 cups of water. Express this, in the ratio of rice to water.
Quantity of rice = 1 1/2 = 3/2
Quantity of water required = 2 3/4 = 11/4
Ratio between rice and water = (3/2) : (11/4)
= (3/2) x (4/11)
= 6 : 11
Question 2 :
Ravi multiplied 25/8 and 16/15 to obtain 400/120. He says that the simplest form of this product is 10 3 and Chandru says the answer in the simplest form is 3 1/3. Who is correct? (or) Are they both correct? Explain.
By multiplying the fractions 25/8 and 16/15, we get 400/120
By simplifying this, we get
= 40/12 = 10/3 (improper fraction)
By changing this improper fraction into mixed form, we will get
= 3 1/3
Hence the both are correct.
Question 3 :
A piece of wire is 4/5 m long. If it is cut into 8 pieces of equal length, how long will each piece be?
Original length of wire = 4/5
Number of pieces to be cut out = 8
length of each piece = (4/5) ÷ 8
= (4/5) ⋅ (1/8)
= 1/10 m
Length of each part is 1/10 m.
Question 4 :
Find the length of a room whose area is 153/10 sq.m and whose breadth is 2 11/20 m.
Area of room = 153/10
Breadth = 2 11/20 = 51/20
length = ?
Length x breadth = (153/10) ÷ (51/20)
= (153/10) x (20/51)
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