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In Mathematics / High School | 2025-07-08

Add. Answer as a mixed number in lowest terms. 8 1/2 + 5 3/8 First, enter the whole number.

Asked by rockstargirl349

Answer (1)

To add the mixed numbers 8 2 1 ​ + 5 8 3 ​ , we will follow a few steps to ensure the result is in the form of a mixed number in the lowest terms.

Add the Whole Numbers:

The whole numbers are 8 and 5.
Add them: 8 + 5 = 13 .


Convert the Fractions to Have a Common Denominator:

The fractions are 2 1 ​ and 8 3 ​ .
The least common denominator (LCD) is 8.
Convert 2 1 ​ to have the denominator of 8: 2 1 ​ = 2 × 4 1 × 4 ​ = 8 4 ​


Add the Fractions:

Add 8 4 ​ + 8 3 ​ : 8 4 ​ + 8 3 ​ = 8 7 ​


Combine the Whole Numbers and the Fraction:

Combine 13 (the sum of the whole numbers) and 8 7 ​ : 13 8 7 ​


Ensure the Fraction is in Lowest Terms:

The fraction 8 7 ​ is already in its lowest terms.



So, the sum 8 2 1 ​ + 5 8 3 ​ = 13 8 7 ​ .

Answered by danjohnbrain | 2025-07-21