8 3/5 - 2 1/3 = 94/
15
= 6 4/
15
≅ 6.2666667
Explanation:
Conversion a mixed number 8 3/
5
to a improper fraction: 8 3/5 = 8 3/
5
= 8 · 5 + 3/
5
= 40 + 3/
5
= 43/
5
To find a new numerator:
a) Multiply the whole number 8 by the denominator 5. Whole number 8 equally 8 * 5/
5
= 40/
5
b) Add the answer from the previous step 40 to the numerator 3. New numerator is 40 + 3 = 43
c) Write a previous answer (new numerator 43) over the denominator 5.
Eight and three fifths is forty-three fifths.
Conversion a mixed number 2 1/
3
to a improper fraction: 2 1/3 = 2 1/
3
= 2 · 3 + 1/
3
= 6 + 1/
3
= 7/
3
To find a new numerator:
a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/
3
= 6/
3
b) Add the answer from the previous step 6 to the numerator 1. New numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 3.
Two and one third is seven thirds.
Subtract: 43/
5
- 7/
3
= 43 · 3/
5 · 3
- 7 · 5/
3 · 5
= 129/
15
- 35/
15
= 129 - 35/
15
= 94/
15
It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(5, 3) = 15. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 3 = 15. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - forty-three fifths minus seven thirds is ninety-four fifteenths.