Answer:
8 1/2
Explanation:
I do not have much of an explanation but here it is:Conversion a mixed number 2 1/2 to a improper fraction: 2 1/2 = 2 1/2 = 2 · 2 + 1/2 = 4 + 1/2 = 5/2
To find new numerator:
a) Multiply the whole number 2 by the denominator 2. Whole number 2 equally 2 * 2/2 = 4/2
b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5
c) Write a previous answer (new numerator 5) over the denominator 2.
Two and one half is five halfs
Conversion a mixed number 5 5/8 to a improper fraction: 5 5/8 = 5 5/8 = 5 · 8 + 5/8 = 40 + 5/8 = 45/8
To find new numerator:
a) Multiply the whole number 5 by the denominator 8. Whole number 5 equally 5 * 8/8 = 40/8
b) Add the answer from previous step 40 to the numerator 5. New numerator is 40 + 5 = 45
c) Write a previous answer (new numerator 45) over the denominator 8.
Five and five eighths is forty-five eighths
Add: 5/2 + 45/8 = 5 · 4/2 · 4 + 45/8 = 20/8 + 45/8 = 20 + 45/8 = 65/8
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 8 = 16. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - five halfs plus forty-five eighths = sixty-five eighths.