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1 month 2021-10-18T09:36:52+00:00 2 Answers 0 views 0

1. Answer: 8 7/9 + 4 1/8 = 929
/72  = 12 65/72  ≅ 12.9027778

Step-by-step explanation:

Conversion a mixed number 8 7

9

to a improper fraction: 8 7/9 = 8 7

9

= 8 · 9 + 7

9

= 72 + 7

9

= 79

9

To find new numerator:

a) Multiply the whole number 8 by the denominator 9. Whole number 8 equally 8 * 9

9

= 72

9

b) Add the answer from previous step 72 to the numerator 7. New numerator is 72 + 7 = 79

c) Write previous answer (new numerator 79) over the denominator 9.

Eight and seven ninths is seventy-nine ninths

Conversion a mixed number 4 1

8

to a improper fraction: 4 1/8 = 4 1

8

= 4 · 8 + 1

8

= 32 + 1

8

= 33

8

To find new numerator:

a) Multiply the whole number 4 by the denominator 8. Whole number 4 equally 4 * 8

8

= 32

8

b) Add the answer from previous step 32 to the numerator 1. New numerator is 32 + 1 = 33

c) Write previous answer (new numerator 33) over the denominator 8.

Four and one eighth is thirty-three eighths

9

+ (33

8

) = 79

9

+ 33

8

= 79 · 8

9 · 8

+ 33 · 9

8 · 9

= 632

72

+ 297

72

= 632 + 297

72

= 929

72

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 the both denominators – LCM(9, 8) = 72. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 8 = 72. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words – seventy-nine ninths plus thirty-three eighths = nine hundred twenty-nine seventy-seconds.