Answer:
22/3
Step-by-step explanation:
Conversion a mixed number 3 7/
7
to a improper fraction: 3 7/7 = 3 7/
7
= 3 · 7 + 7/
7
= 21 + 7/
7
= 28/
7
To find a new numerator:
a) Multiply the whole number 3 by the denominator 7. Whole number 3 equally 3 * 7/
7
= 21/
7
b) Add the answer from previous step 21 to the numerator 7. New numerator is 21 + 7 = 28
c) Write a previous answer (new numerator 28) over the denominator 7.
Three and seven sevenths is twenty-eight sevenths
Conversion a mixed number 3 1/
3
to a improper fraction: 3 1/3 = 3 1/
3
= 3 · 3 + 1/
3
= 9 + 1/
3
= 10/
3
To find a new numerator:
a) Multiply the whole number 3 by the denominator 3. Whole number 3 equally 3 * 3/
3
= 9/
3
b) Add the answer from previous step 9 to the numerator 1. New numerator is 9 + 1 = 10
c) Write a previous answer (new numerator 10) over the denominator 3.
Three and one third is ten thirds
Add: 28/
7
+ 10/
3
= 28 · 3/
7 · 3
+ 10 · 7/
3 · 7
= 84/
21
+ 70/
21
= 84 + 70/
21
= 154/
21
= 7 · 22/
7 · 3
= 22/
3
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(7, 3) = 21. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 7 × 3 = 21. In the following intermediate step, cancel by a common factor of 7 gives 22/
3
.
In other words - twenty-eight sevenths plus ten thirds = twenty-two thirds.
