Conversion a mixed number 6 3/
5
to a improper fraction: 6 3/5 = 6 3/
5
= 6 · 5 + 3/
5
= 30 + 3/
5
= 33/
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 3. New numerator is 30 + 3 = 33
c) Write a previous answer (new numerator 33) over the denominator 5.
Six and three fifths is thirty-three fifths
Conversion a mixed number 2 4/
11
to a improper fraction: 2 4/11 = 2 4/
11
= 2 · 11 + 4/
11
= 22 + 4/
11
= 26/
11
To find new numerator:
a) Multiply the whole number 2 by the denominator 11. Whole number 2 equally 2 * 11/
11
= 22/
11
b) Add the answer from previous step 22 to the numerator 4. New numerator is 22 + 4 = 26
c) Write a previous answer (new numerator 26) over the denominator 11.
Two and four elevenths is twenty-six elevenths
Subtract: 33/
5
- 26/
11
= 33 · 11/
5 · 11
- 26 · 5/
11 · 5
= 363/
55
- 130/
55
= 363 - 130/
55
= 233/
55
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, 11) = 55. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 11 = 55. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - thirty-three fifths minus twenty-six elevenths = two hundred thirty-three fifty-fifths.
Result
6 3/5 - 2 4/11 = 233/
55
= 4 13/
55
≅ 4.2363636