Decimal Fractions are a part of whole numbers that will be split into equal parts. The Decimal fractions addition is somewhat different from the conventional addition since the fractions have a numerator and denominator. The fractions will have common denominators where you have to add the numerators and denominators will remain unchanged.

In this article, you will know what is meant by the Addition of Decimal Fractions, steps on how to add decimal fractions, and some examples related to the addition of decimal fractions.

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### Problems on Addition of Decimal Fractions

**Problem 1: **

Find the sum value of 46.10 + 03.34?

**Solution:
**As given in the question, the values are 46.10, and 03.34

Now, we will find the final sum value.

In between given numbers, the ‘+'(plus sign) will be present. So, we need to perform addition.

So, the numbers are 46.10 + 03.34

After performing the addition operation, the sum value is

46.10 + 03.34 = 49.44

Therefore, the final sum value of given numbers is 49.44

**Problem 2:**

Find the sum value of 231.45 + 134.1 + 44.56

**Solution:**

Given Decimal Places are 231.45, 134.1, and 44.56

First, arrange the given decimal values in columns. Then we get the addition result as under

Therefore, after performing the addition operation the sum value is 410.11.

**Problem 3:**

John had 0.32 liters of hot water. Sony had 0.42 liters more hot water. How much hot water did they have together?

**Solution:
**Given that, John had 0.32 liters of hot water and Sony had 0.42 liters more cold drink.

Arun = 0.32 liters of hot water.

Sony = 0.42 liters more hot water.

To find the hot water they have together we have to add both hot water liters.

So, add 0.32 liters of hot water and 0.42 liters more hot water.

0.32 liters of hot water+ 0.42 liters more hot water = 0.74 liters of hot water.

So, they have 0.74 liters of hot water together.

**Problem 4:**

There are 3 bags of Rice. Each bag of Rice weights 12.05 kg, 13.01 kg, and 14 kg. Find the total weight of Rice in all three bags?

**Solution:
**Given the values,

First, changing the three decimal values into fractions, 12.05 kg, 13.01 kg, and 14.00 kg.

Now, add all the three Rice bags weight, we will get the total weight of the Rice bags.

The weight of Rice in 1st bag is 12.05 kg.

The weight of Rice in 2nd bag is 13.01 kg.

The weight of Rice in 3rd bag is 14.00 kg.

So, the total weight of three bags of rice is,

12.05 kg + 13.01 kg + 14.00 kg = 39.06 kg

Therefore, the total weight of all three bags of Rice is 39.06 kg.

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**Problem 5:**

A spool of thread includes a thread measuring 64.50m. If 23.16m thread has been increased, what length of thread is total in the spool?

**Solution:
**Given that a spool of thread has a thread measuring 64.50 m.

If 23.16 m thread has been increased, add the 23.16 m thread to the thread measuring 64.50 m.

So, the total thread in a spool is,

64.50 m + 23.16 m = 87.66 m.

Therefore, after performing the addition operation the total length of the thread in the spool is 87.66m.

**Problem 6:**

Add 3.2, 4.332, 21.4, 721.8. Write the sum value?

**Solution:**

As given in the question, the decimal values are 3.2, 4.332, 21.4, 721.8

First, check all the numbers have equal decimal places or not. If not add them with necessary zeros.

Next, arranging them in columns we get the decimal addition result of the following numbers as follows,

Therefore, the sum value of given decimal values is 750.732

**Problem 7:**

A tailor needs 23.36 m of cloth for the shirts and 46.80 m for trousers. How much material cloth does the tailor need?

**Solution:
**Given that a tailor needs 23.36 m of cloth for the shirts and 46.80 m for trousers.

Now, we will find the

The tailor needs all will get by adding the cloth for the shirts and cloth for the trousers.

46.36 m of cloth for the shirts

56.90 m of cloth for trousers.

Add 46.36 m and 56.90 m

46.36 m + 56.90 m = 103.26 m

The tailor needs 103.26 m of cloth in total.

**Problem 8:**

Increase 485.23 by 2.861. Write the final value?

**Solution:**

Given, the decimal value is 485.23 is increased by 2.861

Now, we will find the final value using the addition law.

First, arranging them in columns then start adding, we get the result as

Thus, after performing the addition operation the final value is 488.091

**Problem 9:**

What is the sum value of 123.4 and 321.45?

**Solution:**

Given the decimal values are 123.4 and 321.45

Now, find the final value using the addition rule.

The addition means adding the given two numbers and the resultant value is the sum.

So, the numbers are,

123.4 + 321.45

After performing addition operation, the value is,

123.40+ 321.45 = 444.85

Hence, the sum value of the given numbers is 444.85

**Problem 10:**

Find the final sum value of 3.451 and 51.6?

**Solution:**

Given the decimal values are 3.451 and 51.6

Now, we have to find the final sum value using the addition law.

The addition means adding the given two numbers and the resultant value is called a sum. First, arrange them in a column and then check the equal number of decimals or not. If not add zero’s.

So, the given numbers are,

3.451 + 51.6

After performing the addition operation, the sum value is,

3.451 + 51.6 = 5

Hence, the sum value of the given numbers is 444.85