2 1/2 plus 3/10 = 14/5

Adding Fractions Calculator

What is 2 1/2 plus 3/10?

Answer

2 1/2 plus 3/10 is

14/5

As a mixed number: 2 4/5

As a decimal: 2.8

2

1

2

+

3

10

=14
/
5

14/5 is the result of adding 2 1/2 and 3/10. As a mixed number that is 2 4/5.

Steps to add 2 1/2 and 3/10

Only parts of the same size can be counted together, so 2 1/2 + 3/10 is solved by giving both fractions the same denominator and then adding the numerators. Here is every step.

Step 1: Write both numbers as fractions

A whole number is written over 1, and a mixed number becomes an improper fraction: multiply the whole part by the denominator and add the numerator.

2 1/2 = (2 × 2 + 1)/2 = 5/2

Step 2: Find the common denominator

The least common multiple of 2 and 10 is 10, so both fractions are rewritten over it.

5/2 = 25/10 (× 5)

3/10 = 3/10 (× 1)

Step 3: Add the numerators

The denominator stays as it is — it says how big each part is, and that has not changed. Only the count of parts is added up.

25/10 + 3/10

=

(25 + 3)/10

=

28/10

Step 4: Reduce the fraction

The greatest common factor of 28 and 10 is 2, so divide both parts by it.

28/10

=

14/5

Step 5: Write it as a mixed number

The numerator is larger than the denominator, so 14/5 can also be written as a mixed number.

14/5 = 2 4/5

Answer

2 1/2 + 3/10

=

14/5

(2 4/5)

As a decimal, 2 1/2 + 3/10 = 2.8.

Related Calculations

Adding Fractions Calculator

This calculator adds two fractions and shows the whole solution, not just the answer. Mixed numbers and whole numbers are accepted on both sides, so you can add 2 1/3 to 1 just as easily as 1/2 to 1/3.

For example, it can help you find out what is 2 1/2 plus 3/10? (The answer is: 14/5).

Enter the first fraction on the left and the second one on the right (for example '2 1/2' and '3/10'), then press the button.

The result is given as a fraction in its lowest terms, as a mixed number when it is greater than one, and as a decimal — with an approximation sign whenever the decimal never ends.

Every page also shows why the method works: only parts of the same size can be counted together, so both fractions are first rewritten over their least common denominator and only then are the numerators added.

Adding Fractions Calculator

Fraction Addition Table

Addition	Result	Decimal Form
2 1/2 + 1/10	13/5	= 2.6
2 1/2 + 1/9	47/18	≈ 2.6111
2 1/2 + 1/8	21/8	= 2.625
2 1/2 + 1/7	37/14	≈ 2.6429
2 1/2 + 1/6	8/3	≈ 2.6667
2 1/2 + 1/5	27/10	= 2.7
2 1/2 + 2/9	49/18	≈ 2.7222
2 1/2 + 1/4	11/4	= 2.75
2 1/2 + 2/8	11/4	= 2.75
2 1/2 + 2/7	39/14	≈ 2.7857
2 1/2 + 3/10	14/5	= 2.8
2 1/2 + 1/3	17/6	≈ 2.8333
2 1/2 + 3/8	23/8	= 2.875
2 1/2 + 2/5	29/10	= 2.9
2 1/2 + 5/12	35/12	≈ 2.9167
2 1/2 + 3/7	41/14	≈ 2.9286
2 1/2 + 1/2	3	= 3
2 1/2 + 2/4	3	= 3
2 1/2 + 3/5	31/10	= 3.1
2 1/2 + 5/8	25/8	= 3.125

What is 2 1/2 plus 3/10?

What is 2 1/2 plus 3/10?

Steps to add 2 1/2 and 3/10

Related Calculations

See Also

Adding Fractions Calculator

Fraction Addition Table

FAQ

What is 2 1/2 plus 3/10?

How do you add 2 1/2 and 3/10?

What is 2 1/2 plus 3/10 as a decimal?

Why does 28/10 become 14/5?

See Also