Answer:
4 3/9 - 2 7/9 = 14/
9
= 1 5/
9
≅ 1.5555556
Step-by-step explanation:
Conversion a mixed number 4 3/
9
to a improper fraction: 4 3/9 = 4 3/
9
= 4 · 9 + 3/
9
= 36 + 3/
9
= 39/
9
To find new numerator:
a) Multiply the whole number 4 by the denominator 9. Whole number 4 equally 4 * 9/
9
= 36/
9
b) Add the answer from previous step 36 to the numerator 3. New numerator is 36 + 3 = 39
c) Write a previous answer (new numerator 39) over the denominator 9.
Four and three ninths is thirty-nine ninths
Conversion a mixed number 2 7/
9
to a improper fraction: 2 7/9 = 2 7/
9
= 2 · 9 + 7/
9
= 18 + 7/
9
= 25/
9
To find new numerator:
a) Multiply the whole number 2 by the denominator 9. Whole number 2 equally 2 * 9/
9
= 18/
9
b) Add the answer from previous step 18 to the numerator 7. New numerator is 18 + 7 = 25
c) Write a previous answer (new numerator 25) over the denominator 9.
Two and seven ninths is twenty-five ninths
Subtract: 39/
9
- 25/
9
= 39 - 25/
9
= 14/
9
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(9, 9) = 9. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 9 = 81. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - thirty-nine ninths minus twenty-five ninths = fourteen ninths.
