Conversion a mixed number 4 3/
7
to a improper fraction: 4 3/7 = 4 3/
7
= 4 · 7 + 3/
7
= 28 + 3/
7
= 31/
7
To find new numerator:
a) Multiply the whole number 4 by the denominator 7. Whole number 4 equally 4 * 7/
7
= 28/
7
b) Add the answer from previous step 28 to the numerator 3. New numerator is 28 + 3 = 31
c) Write a previous answer (new numerator 31) over the denominator 7.
Four and three sevenths is thirty-one sevenths
Conversion a mixed number 6 1/
5
to a improper fraction: 6 1/5 = 6 1/
5
= 6 · 5 + 1/
5
= 30 + 1/
5
= 31/
5
To find new numerator:
a) Multiply the whole number 6 by the denominator 5. Whole number 6 equally 6 * 5/
5
= 30/
5
b) Add the answer from previous step 30 to the numerator 1. New numerator is 30 + 1 = 31
c) Write a previous answer (new numerator 31) over the denominator 5.
Six and one fifth is thirty-one fifths
Add: 31/
7
+ 31/
5
= 31 · 5/
7 · 5
+ 31 · 7/
5 · 7
= 155/
35
+ 217/
35
= 155 + 217/
35
= 372/
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(7, 5) = 35. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 7 × 5 = 35. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - thirty-one sevenths plus thirty-one fifths = three hundred seventy-two thirty-fifths.
So the answer will be
4 3/7 +6 1/5 =372/35
