What is 1 2/3 plus 5/8?

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What is 1 2/3 plus 5/8?

Answer

1 2/3 plus 5/8 is
55/24

As a mixed number: 2 7/24

As a decimal: ≈ 2.2917

1
2
3
+
5
8
=
55
24

55/24 is the result of adding 1 2/3 and 5/8. As a mixed number that is 2 7/24.

Steps to add 1 2/3 and 5/8

Only parts of the same size can be counted together, so 1 2/3 + 5/8 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.

1 2/3 = (1 × 3 + 2)/3 = 5/3

Step 2: Find the common denominator

The least common multiple of 3 and 8 is 24, so both fractions are rewritten over it.

5/3 = 40/24 (× 8)

5/8 = 15/24 (× 3)

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.

40/24 + 15/24

=

(40 + 15)/24

=

55/24

Step 4: Write it as a mixed number

The numerator is larger than the denominator, so 55/24 can also be written as a mixed number.

55/24 = 2 7/24

Answer

1 2/3 + 5/8

=

55/24

(2 7/24)

As a decimal, 1 2/3 + 5/8 ≈ 2.2917 — the decimal form is rounded, the fraction 55/24 is the exact answer.

Related Calculations

See Also

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 1 2/3 plus 5/8? (The answer is: 55/24).

Enter the first fraction on the left and the second one on the right (for example '1 2/3' and '5/8'), 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.

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Fraction Addition Table

AdditionResultDecimal Form
1 2/3 + 2/741/21≈ 1.9524
1 2/3 + 3/1059/30≈ 1.9667
1 2/3 + 1/32= 2
1 2/3 + 3/849/24≈ 2.0417
1 2/3 + 2/531/15≈ 2.0667
1 2/3 + 5/1225/12≈ 2.0833
1 2/3 + 3/744/21≈ 2.0952
1 2/3 + 1/213/6≈ 2.1667
1 2/3 + 2/413/6≈ 2.1667
1 2/3 + 3/534/15≈ 2.2667
1 2/3 + 5/855/24≈ 2.2917
1 2/3 + 2/37/3≈ 2.3333
1 2/3 + 7/1071/30≈ 2.3667
1 2/3 + 5/750/21≈ 2.381
1 2/3 + 3/429/12≈ 2.4167
1 2/3 + 4/537/15≈ 2.4667
1 2/3 + 5/65/2= 2.5
1 2/3 + 7/861/24≈ 2.5417
1 2/3 + 18/3≈ 2.6667
1 2/3 + 1 1/435/12≈ 2.9167

FAQ

What is 1 2/3 plus 5/8?

1 2/3 plus 5/8 is 55/24

How do you add 1 2/3 and 5/8?

The least common denominator of 5/3 and 5/8 is 24. The sum is then 40/24 + 15/24 = 55/24, already in lowest terms.

What is 1 2/3 plus 5/8 as a decimal?

The exact answer is the fraction 55/24; its decimal form is rounded here, so 1 2/3 + 5/8 ≈ 2.2917.

See Also