Answer: 8 7/9 + 4 1/8 = 929 /72 = 12 65/72 ≅ 12.9027778
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
Add: 79
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.