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 .