Question

5 7/16+(5 5/24- 1 17/32)

Answer 1

Решение: как мы получили 875/96:

87/16 + (125/24 - 49/32) = (500-147) /96= 353\96

Answer 2

To solve the expression 5 7/16 + (5 5/24 - 1 17/32), we need to perform the operations in the parentheses first and then add the result to 5 7/16.

Let's start by simplifying the expression within the parentheses:

5 5/24 - 1 17/32

To subtract mixed numbers, we need to convert them into improper fractions:

5 5/24 = (5 * 24 + 5)/24 = 125/24 1 17/32 = (1 * 32 + 17)/32 = 49/32

Now we can subtract:

125/24 - 49/32

To subtract fractions, we need a common denominator, which in this case is 24 * 32 = 768. Let's convert both fractions:

125/24 = (125 * 32)/ (24 * 32) = 4000/768 49/32 = (49 * 24) / (32 * 24) = 1176/768

Now we can subtract:

4000/768 - 1176/768 = (4000 - 1176)/768 = 2824/768

Next, we add this result to 5 7/16:

5 7/16 + 2824/768

Let's convert 5 7/16 into an improper fraction:

5 7/16 = (5 * 16 + 7)/16 = 87/16

Now we can add:

87/16 + 2824/768

To add fractions, we need a common denominator, which in this case is 16 * 768 = 12288. Let's convert both fractions:

87/16 = (87 * 768)/(16 * 768) = 66816/12288 2824/768 = (2824 * 16)/(768 * 16) = 45184/12288

Now we can add:

66816/12288 + 45184/12288 = (66816 + 45184)/12288 = 112000/12288

The fraction 112000/12288 can be simplified by finding the greatest common divisor (GCD) of the numerator and the denominator, which is 64:

112000/12288 = (112000/64)/(12288/64) = 1750/192

Therefore, the final result is 1750/192.