Problems on Multiplication of Fractional Numbers are provided with the different types of problems. Follow the complete concept and learn more about the Multiplication of Fractional Numbers topic. In this topic, different methods are given to solve a single problem here. So, check out various problems with methods and choose the best process to solve them. We will provide answers and explanations for the Multiplication of Fractions Problems.
Also, Refer:
What is a Fraction?
Fraction value is nothing but a section or portion of any given quantity. Fractions are usually denoted by the symbol “/”.
How can we Multiply Fractions?
First, we need to Multiply the numerator with the numerator then we have to Multiply the denominator with the denominator Finally Simplify the fractions if needed.
Problems on Multiplication of Fractional Numbers
Solved examples in Multiplying Fractions Numbers will help you to get a piece of detailed information and also helps you to score better marks in the exam. So let’s see few problems.
Always remember, Product of Fraction = Product of Numerator/Product of Denominator
Multiplication of a Fraction Number with a Fraction Numbers
(i)Solve the equation 2/3 × 1/5
Solution:
We have 2/3 × 1/5
To multiply the above equation, first, we have to multiply the numerators
That gives 2 × 1 = 2
Now we need to multiply the denominators
Which gives 3 × 5 = 15
Now, We have to write our fraction number in the form of numerator/denominator which gives 2/15
Answer: 2/15.
(ii) Solve the equation 9/4 × 2/3
Solution:
We have 9/4 × 2/3
To multiply the above equation, first, we have to multiply the numerators
That means 9 × 2 = 18
Now we need to multiply the denominators
Which gives 4 × 3 = 12
Now, We have to write our fraction number in the form of numerator/denominator which gives 18/12
18/12 can be further simplified as 3/2 because 18 and 12 both these integers can be divided by 6.
Answer: 3/2
Multiplication of Fraction Numbers with a Whole Number
(iii) Solve the equation 3/5 x 6
Solution:
We have 3/5 × 6
To multiply the fraction numbers first, we have to multiply the numerators then denominators.
But we don’t have a denominator for 6 so let us assume 1 as a denominator for 6
Now 3 × 6 = 18 and 5 × 1 = 5
Now, We have to write our fraction number in the form of numerator/denominator which gives 18/5
Answer: 18/5
(iv) Solve the equation 10/15 x 7
Solution:
We have 10/15 × 7
To multiply the fraction numbers first, we have to multiply the numerators then denominators.
But we don’t have a denominator for 7 so let us assume 1 as a denominator for 7
Now 10 × 7 = 70 and 15 × 1 = 15
Now, We have to write our fraction number in the form of numerator/denominator which gives 70/15
70/15 can be further simplified as 14/3 because 70 and 15 both these integers can be divided by 5.
Answer: 14/3
Multiplication of a Whole Number with a Fraction Number
(v) Solve the equation 1 x 5/4
Solution:
We have 1 x 5/4
To multiply the fraction numbers first, we have to multiply the numerators then denominators.
But we don’t have a denominator for 1 so let us assume 1 as a denominator for 1
Now 1 × 5 = 5 and 1 × 4 = 4
Now, We have to write our fraction number in the form of numerator/denominator which gives 5/4
Answer: 5/4
(vi) Solve the equation 5 x 3/15
Solution: We have 5 x 3/15
To multiply the fraction numbers first, we have to multiply the numerators then denominators.
But we don’t have a denominator for 5, so let us assume 1 as a denominator for 5
Now 5 × 3 = 15 and 1 × 15 = 15
Now, We have to write our fraction number in the form of numerator/denominator which gives 15/15
15/15 can be further simplified as 1 because 15 can be divided by 15.
Answer: 1.
Problem 4: Multiplication of Mixed Fraction Numbers with a Whole Number
(vii) Solve equation 2(9/13) x 4
Solution: We have 2(9/13) x 4
To multiply the fraction numbers first, we have to multiply the numerators then denominators.
First, we need to convert the given mixed fraction into a fraction number
This means 2(9/13) gives 35/13
But we don’t have a denominator for 4, so let us assume 1 as a denominator for 4
Now 35 × 4 = 140 and 1 × 13 = 13
Now, We have to write our fraction number in the form of numerator/denominator which gives 140/13
Answer: 140/13
(viii) Solve equation 2(2/3) x 6
Solution: We have 2(3/3) x 6
To multiply the fraction numbers first, we have to multiply the numerators then denominators.
First, we need to convert the given mixed fraction into a fraction number
This means 2(2/3) gives 8/3
But we don’t have a denominator for 6, so let us assume 1 as a denominator for 6
Now 8 × 6 = 48 and 1 × 3 = 3
Now, We have to write our fraction number in the form of numerator/denominator which gives 48/3
Answer: 48/3
Multiplication of the Whole Number with Mixed Fraction Numbers
(ix) Solve equation 3 X 3(1/4)
Solution: We have 3 x 3(1/4)
To multiply the fraction numbers first, we have to multiply the numerators then denominators.
But we don’t have a denominator for 3, so let us assume 1 as a denominator for 3
Now, we need to convert the given mixed fraction into a fraction number
This means 3(1/4) gives 13/4
Now we have to multiply 3 × 13 = 39 and 3 × 1 = 3
Now, We have to write our fraction number in the form of numerator/denominator which gives 39/3
39/3 can be further simplified as 13/1 because 39 and 3 both these integers can be divided by 3.
Answer: 13.
(x) Solve equation 2(2/3) X 4
Solution: We have 2(2/3) x 4
To multiply the fraction numbers first, we have to multiply the numerators then denominators.
But we don’t have a denominator for 4, so let us assume 1 as a denominator for 4
Now, we need to convert the given mixed fraction into a fraction number
This means 2(2/3) gives 8/3
Now we have to multiply 8 × 4 = 32 and 4 × 1 = 4
Now, We have to write our fraction number in the form of numerator/denominator which gives 32/4
32/4 can be further simplified as 8/1 because 34 and 4 both these integers can be divided by 2.
Answer: 8