Realiza la siguiente operación 4/3 (5/7 -9/2​

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.

6 is the correct answer

Step-by-step explanation: