Question

Solve the equation showing each inverse operation step:

Answer 1

Answer:

4 2/7 - 6/7 = 24/

7

= 3 3/

7

Step-by-step explanation:

Conversion a mixed number 4 2/

7

to a improper fraction: 4 2/7 = 4 2/

7

= 4 · 7 + 2/

7

= 28 + 2/

7

= 30/

7

To find a new numerator:

a) Multiply the whole number 4 by the denominator 7. Whole number 4 equally 4 * 7/

7

= 28/

7

b) Add the answer from previous step 28 to the numerator 2. New numerator is 28 + 2 = 30

c) Write a previous answer (new numerator 30) over the denominator 7.

Four and two sevenths is thirty sevenths

Subtract: 30/

7

- 6/

7

= 30 - 6/

7

= 24/

7

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, 7) = 7. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 7 × 7 = 49. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - thirty sevenths minus six sevenths = twenty-four sevenths.