Question

(6 15/24+4 3/8)+(3 7/24+9 7/8)

Answer 1

Ответ:

Пошаговое объяснение:

6 15/24+3 7/24=9 22/24

4 3/8+9 7/8=13 10/8=14 2/8

9 22/24+14 2/8=9 22/24+14 6/24=24 1/6

Answer 2

To add the given mixed fractions, you need to find a common denominator for each fraction, convert them into improper fractions, and then perform the addition. Let's break it down step by step:

First, convert the mixed fractions into improper fractions: 6 15/24 = (6 * 24 + 15)/24 = 159/24 4 3/8 = (4 * 8 + 3)/8 = 35/8 3 7/24 = (3 * 24 + 7)/24 = 79/24 9 7/8 = (9 * 8 + 7)/8 = 79/8

Now, add the fractions: (159/24 + 35/8) + (79/24 + 79/8)

To add fractions, they need a common denominator. The least common multiple (LCM) of 24 and 8 is 24. We'll convert both fractions to have a denominator of 24:

(159/24 + 35/8) + (79/24 + 79/8) = (159/24 + 105/24) + (79/24 + 297/24) = (159 + 105)/24 + (79 + 297)/24 = 264/24 + 376/24

Now, we can add the fractions with the same denominator: (264/24 + 376/24) = (264 + 376)/24 = 640/24

Simplifying the fraction, if possible: 640/24 = 160/6 = 80/3

Therefore, the result of the expression (6 15/24 + 4 3/8) + (3 7/24 + 9 7/8) is 80/3.