Answer:
6 1/2 + 5/8 = 57/8 = 7 1/8 = 7.125
Step-by-step explanation:
Conversion a mixed number 6 1/2
to a improper fraction: 6 1/2 = 6 1/2 = 6 · 2 + 1/2 = 12 + 1/2 = 13/2
To find a new numerator:
a) Multiply the whole number 6 by the denominator 2. Whole number 6 equally 6 * 2/2 = 12/2
b) Add the answer from previous step 12 to the numerator 1. New numerator is 12 + 1 = 13
c) Write a previous answer (new numerator 13) over the denominator 2.
Six and one half is thirteen halfs
Add: 13/2 + 5/8 = 13 · 4/2 · 4 + 5/8 = 52/8 + 5/8 = 52 + 5/8= 57/8
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 following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - thirteen halves plus five-eighths = fifty-seven eighths.
