subtract 5 6/7 - 2 2/3
Answers
Step-by-step explanation:
5 6/7 - 2 2/3 = 67/21 = 3 4/21 ≅ 3.1904762
Conversion a mixed number 5 6/7 to a improper fraction: 5 6/7 = 5 6/7 = 5 · 7 + 6/7 = 35 + 6/7 = 41/7
To find a new numerator:
a) Multiply the whole number 5 by the denominator 7. Whole number 5 equally 5 * 7/7 = 35/7
b) Add the answer from previous step 35 to the numerator 6. New numerator is 35 + 6 = 41
c) Write a previous answer (new numerator 41) over the denominator 7.
Five and six sevenths is forty-one sevenths
Conversion a mixed number 2 2/3 to a improper fraction: 2 2/3 = 2 2/3 = 2 · 3 + 2/3 = 6 + 2/3 = 8/3
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 previous step 6 to the numerator 2. New numerator is 6 + 2 = 8
c) Write a previous answer (new numerator 8) over the denominator 3.
Two and two thirds is eight thirds
Subtract: 41/7 - 8/3 = 41 · 3/7 · 3 - 8 · 7/3 · 7 = 123/21 - 56/21 = 123 - 56/21 = 67/21
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, it cannot further simplify the fraction result by canceling.
In other words - forty-one sevenths minus eight thirds = sixty-seven twenty-firsts.