Worksheet on Multiplication of Fractional Numbers is 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 problems.

Do Read:

- Multiplication of a Whole Number by a Fraction
- Multiplication of a Fraction by Fraction
- Problems on Multiplication of Fractional Numbers

**Problem 1:**

Solve the equation by Multiplying a Whole Number 6 with a Fraction Number 5/4

**Solution:**

We need to Multiply a Whole Number 6 with a Fraction Number 5/4

So our equation will be 6 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 6 so let us assume 1 as a denominator for 6

NowÂ 6 Ã— 5 = 30 and 1 Ã— 4 = 4

Now, We have to write our fraction number in the form of numerator/denominator which givesÂ 30/4

Answer: 30/4

**Problem 2:**

Solve the equation by Multiplying a Whole Number 10 with a Fraction Number 3/15

**Solution:**

We need to Multiply a Whole Number 10 with a Fraction Number 3/15

So our equation will be 10 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 10, so let us assume 1 as a denominator for 10

NowÂ 10 Ã— 3 = 30 and 1 Ã— 15 = 15

Now, We have to write our fraction number in the form of numerator/denominator which givesÂ 30/15

15/15 can be further simplified as 2Â because 30 and 15 both these integers can be divided by 5 and 3.

Answer: 2.

**Problem 3:**

Solve the equation by Multiplying a Fraction Number 3/5 with a Whole Number 4

**Solution:**

We need to Multiply a Fraction Number 3/5 with a Whole Number 4

So our equation will be 3/5 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

NowÂ 3 Ã— 4 = 12 and 5 Ã— 1 = 5

Now, We have to write our fraction number in the form of numerator/denominator which givesÂ 12/5

Answer: 12/5

**Problem 4:**

Solve the equation by Multiplying a Fraction Number 10/25 with a Whole Number 7

**Solution:**

We need to Multiply a Fraction Number 10/15 with a Whole Number 7.

So our equation will be 10/15 x 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

NowÂ 10 Ã— 7 = 70 and 25 Ã— 1 = 25

Now, We have to write our fraction number in the form of numerator/denominator which givesÂ 70/25

70/25 can be further simplified as 14/5 because 70 and 25 both these integers can be divided by 5.

Answer: 14/5

**Problem 5:**

Solve the equation by Multiplying a Mixed Fraction Number 2(9/13) with a Whole Number 6.

**Solution:**

We need to Multiply a Mixed Fraction Number 2(9/13) with a Whole Number 6.

So our equation will be 2(9/13) 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(9/13) gives 35/13

But we don’t have a denominator for 6, so let us assume 1 as a denominator for 6

NowÂ 35 Ã— 4 = 140 and 1 Ã— 6 = 6

Now, We have to write our fraction number in the form of numerator/denominator which givesÂ 140/6

70/25 can be further simplified as 70/3 because 140 and 6 both these integers can be divided by 2.

Answer: 70/3

**Problem 6:**

Solve the equation by Multiplying a Mixed Fraction Number 2(2/3) with a Whole Number 5.

**Solution:**

We need to Multiply a Mixed Fraction Number 2(2/3) with a Whole Number 5

So our equation will be 2(2/3) x 5

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 5, so let us assume 1 as a denominator for 5

NowÂ 8 Ã— 6 = 48 and 1 Ã— 5 = 5

Now, We have to write our fraction number in the form of numerator/denominator which givesÂ 48/5

Answer: 48/5

**Problem 7:**

Solve the equation by Multiplying a Fraction Number 2/3 with another Fraction Number 2/5.

**Solution:**

We need to Multiply a Fraction Number 2/3 with another Fraction Number 2/5

So our equation will be 2/3 x 2/5

To multiply the above equation, first, we have to multiply the numerators

That gives 2 Ã— 2 = 4

Now we need to multiply the denominators

Which gives 3 Ã— 5 = 15

Now, We have to write our fraction number in the form of numerator/denominator which givesÂ 4/15

Answer: 4/15.

**Problem 8:**

Solve the equation by Multiplying a Fraction Number 4/9 with another Fraction Number 3/2.

**Solution:**

We need to Multiply a Fraction Number 4/9 with another Fraction Number 3/2

So our equation will be 4/9 x 3/2

That means 3 Ã— 4 = 12

Now we need to multiply the denominators

Which gives 9 Ã— 2 = 18

Now, We have to write our fraction number in the form of numerator/denominator which givesÂ 12/18

12/18 can be further simplified as 2/3 because 12 and 18 both these integers can be divided by 6.

Answer: 2/3

**Problem 9:**

Solve the equation by Multiplying a Fraction Number 3/4 with a Whole Number 8

**Solution:**

We need to Multiply a Fraction Number 3/4 with the Whole Number 8

So our equation will be 3/4 x 8

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

NowÂ 3 Ã— 8 = 24 and 4 Ã— 1 = 4

Now, We have to write our fraction number in the form of numerator/denominator which givesÂ 24/4

24/4 can be further simplified as 6 because 24 and 4 both these integers can be divided by 2.

Answer: 6

**Problem 10:**

Solve the equation by Multiplying a Fraction Number 10/15 with a Whole Number 14

**Solution:**

We need to Multiply a Fraction Number 10/24 with the Whole Number 14

So our equation will be 10/24 x 14

To multiply the fraction numbers first, we have to multiply the numerators then denominators.

But we don’t have a denominator for 24 so let us assume 1 as a denominator for 24

NowÂ 10 Ã— 14 = 140 and 24 Ã— 1 = 24

Now, We have to write our fraction number in the form of numerator/denominator which givesÂ 140/24

140/24 can be further simplified as 35/6 because 140 and 24 both these integers can be divided by 2.

Answer: 35/6

**Problem 11:**

Solve the equation by Multiplying a Fraction Numbers 2/3, 3/4 and 10/15

**Solution:**

We need to Multiply a Fraction Numbers 2/3, 3/4 and 10/15

So our equation will be 2/3 x 3/4 x 10/15

To multiply the fraction numbers first, we have to multiply the numerators then denominators.

NowÂ 2 x 3 x 10 = 60 and 3 x 4 x 15 = 180

Now, We have to write our fraction number in the form of numerator/denominator which gives 60/180

60/180 can be further simplified as 1/3 because 60 and 180 both these integers can be divided by 3.

Answer: 1/3.