Learn how to solve problems on Multiplying Mixed Numbers in the article on Worksheet on Word Problems on Multiplication of Mixed Fractions. To promote higher level thinking among students we have covered the questions ranging from easy to difficult ones. Practice the Multiplying Mixed Fractions Problems in the Worksheet and score better grades in exams. Know the Problem Solving Approach used to solve Mixed Numbers Multiplication and apply the same while answering similar questions.
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Word Problems Involving Multiplication of Mixed Numbers
Example 1.
There was \(\frac {4}{ 7} \)cake left on the table. Suresh ate \(\frac {1}{ 5} \) of the leftover cake. How much cake did he have?
Solution:
Cake left on the table=\(\frac {4}{ 7} \)
Suresh ate Leftover cake=\(\frac {1}{ 5} \)
Suresh has cake= \(\frac {4}{ 7} \) × \(\frac {1}{ 5} \)
=\(\frac {4 × 1}{ 7 × 5} \)
=\(\frac {4 }{ 35} \)
Hence, Suresh ate \(\frac {4 }{ 35} \) 0f the cake.
Example 2.
There are \(\frac {9}{ 13} \) vegetables in the kitchen. Sindhu used \(\frac {3}{ 8} \) of vegetables. How many kgs of vegetables did she use?
Solution:
Vegetables in the kitchen=\(\frac {9}{ 13} \)
Used vegetables=\(\frac {3}{ 8} \)
No. of kgs of vegetables she used=\(\frac {9}{ 13} \) × \(\frac {3}{ 8} \)
=\(\frac {9 × 3}{ 13 ×8} \)
=\(\frac {27}{ 104} \)
Sindhu used \(\frac {27}{ 104} \) kg of vegetables.
Example 3.
Raju walks \(\frac {3}{ 4} \) mile every day. How much distance he would walk for 4 days.
Solution:
Raju walks every day= \(\frac {3}{ 4} \)mile
The distance he walked for 4 days= 4 ×\(\frac {3}{ 4} \) =3 miles.
Hence, the distance covered by Raju in 4 days is 3 miles.
Example 4.
Supraja wants to bake 4 cakes. For each cake, she needs \(\frac {1}{ 2} \) kg of wheat. Find how much quantity required for baking 4 cakes?
Solution:
Supraja want to bake cakes = 4
She needs wheat= \(\frac {1}{ 2} \) kg
Quantity required for baking 4 cakes=4 × \(\frac {1}{ 2} \)=2
Hence, the quantity required for baking 4 cakes is 2 kg.
Example 5.
At a birthday party, the juice is served \(\frac {3}{ 5} \) for everyone. If 8 people attended a party how much juice is required?
Solution:
Juice served for every one= \(\frac {3}{ 5} \)
No. of people attended a party= 8
No. of liters juice required= \(\frac {3}{ 5} \) × 8= \(\frac {24}{ 5} \)=4 \(\frac {4}{ 5} \)
Hence, 4 \(\frac {4}{ 5} \) liters of juice is required.
Example 6.
Gopi has \(\frac {1}{ 7} \) of the money. He wants to give money to his sons. How much amount will the two sons get?
Solution:
Gopi has money= \(\frac {1}{ 7} \)
No of persons shared money = 2
Amount shared by them=2 × \(\frac {1}{ 7} \)= \(\frac {2}{ 7} \)
Hence, the two sons will get \(\frac {2}{ 7} \) of money.
Example 7.
Ramesh has to give \(\frac {7}{ 5} \) money to his friend. But he has given \(\frac {1}{ 5} \) money. How much money did he give to his friend?
Solution:
Ramesh has to give money to his friend= \(\frac {7}{ 5} \)
He has given money= \(\frac {1}{ 5} \)1/5
Money is given by Ramesh = \(\frac {7}{ 5} \) × \(\frac {1}{ 5} \)= \(\frac {7}{ 25} \).
Example 8.
Ram bought sweets for his family. Each sweet weight is \(\frac {1}{ 5} \) . If he gets 8 sweets in a box, what is the weight of the box?
Solution:
Each sweet weight= \(\frac {1}{ 5} \)
Weight of 8 sweets in the box= 8 × \(\frac {1}{ 5} \)= \(\frac {8}{ 5} \)
Hence, weight of 8 sweets= \(\frac {8}{ 5} \)
Example 9.
A cake mix can make 2 cakes. Siri is making 4 cakes. For each cake, \(\frac {2}{ 9} \) cups of milk. Find how many cups needed for 4 cakes?
Solution:
Siri making cakes=4
Milk needed for cake= \(\frac {2}{ 9} \)
Milk needed for 4 cakes=4 × \(\frac {2}{ 9} \)= \(\frac {8}{ 9} \)
Hence, milk needed for 4 cakes is \(\frac {8}{ 9} \) cups of milk.