Question

7 3/8 - (4 5/6 + 1 3/4) = ?

Answer 1

Пошаговое объяснение:

7 3/8 - (4 5/6 + 1 3/4) =

7 9/24 - (4 20/24 + 1 18/24) =

7 9/24 - 5 38/24 = 7 9/24 - 6 14/24 =

6 33/24 - 6 14/24 = 19/24

Answer 2

To solve the expression 7 3/8 - (4 5/6 + 1 3/4), we need to simplify the addition inside the parentheses first.

4 5/6 + 1 3/4 can be calculated as follows:

First, find a common denominator for the fractions, which in this case is 24.

4 5/6 = (4 * 6 + 5) / 6 = 29/6 1 3/4 = (1 * 4 + 3) / 4 = 7/4

Now, we can add the fractions:

29/6 + 7/4 = (29 * 4 + 7 * 6) / (6 * 4) = 116/24 + 42/24 = 158/24

Next, we convert 7 3/8 to an improper fraction:

7 3/8 = (7 * 8 + 3) / 8 = 59/8

Finally, we subtract (4 5/6 + 1 3/4) from 7 3/8:

59/8 - 158/24

To subtract fractions, we need to find a common denominator, which in this case is 24:

(59 * 3 - 158) / 8 = (177 - 158) / 8 = 19/8

Therefore, 7 3/8 - (4 5/6 + 1 3/4) equals 19/8 or 2 3/8.