Answer:Conversion a mixed number 6 2/
7
to a improper fraction: 6 2/7 = 6 2/
7
= 6 · 7 + 2/
7
= 42 + 2/
7
= 44/
7
To find new numerator:
a) Multiply the whole number 6 by the denominator 7. Whole number 6 equally 6 * 7/
7
= 42/
7
b) Add the answer from previous step 42 to the numerator 2. New numerator is 42 + 2 = 44
c) Write a previous answer (new numerator 44) over the denominator 7.
Six and two sevenths is forty-four sevenths
Add: 8/
5
+ 44/
7
= 8 · 7/
5 · 7
+ 44 · 5/
7 · 5
= 56/
35
+ 220/
35
= 56 + 220/
35
= 276/
35
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 the both denominators - LCM(5, 7) = 35. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 7 = 35. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - eight fifths plus forty-four sevenths = two hundred seventy-six thirty-fifths.
Step-by-step explanation:
