Question

(7/16-(-5/24)):-1 15/16

Answer 1

Ответ:

вот на фото

Пошаговое объяснение:

надеюсь помогла:))

Answer 2

To solve the expression (7/16 - (-5/24)) ÷ (-1 15/16), we need to simplify each fraction first and then perform the division.

Let's start by simplifying the fractions: 7/16 - (-5/24) = 7/16 + 5/24

To add these fractions, we need a common denominator, which is the least common multiple (LCM) of 16 and 24, which is 48.

Rewriting the fractions with a common denominator: 7/16 + 5/24 = (7 * 3)/(16 * 3) + (5 * 2)/(24 * 2) = 21/48 + 10/48

Now that we have a common denominator, we can add the fractions: 21/48 + 10/48 = (21 + 10)/48 = 31/48

So, the expression simplifies to (7/16 - (-5/24)) ÷ (-1 15/16) = 31/48 ÷ (-1 15/16).

To divide by a mixed number, we need to convert it into an improper fraction. Let's convert (-1 15/16) into an improper fraction:

(-1 15/16) = -1 + 15/16 = -16/16 + 15/16 = (-16 + 15)/16 = -1/16

Now, we can perform the division: (31/48) ÷ (-1/16)

To divide fractions, we invert the divisor and multiply: (31/48) ÷ (-1/16) = (31/48) * (-16/1)

Multiplying the fractions: (31/48) * (-16/1) = (31 * -16) / (48 * 1) = -496/48

To simplify this fraction, we can divide the numerator and denominator by their greatest common divisor, which is 16:

(-496/48) ÷ 16 = (-496 ÷ 16) / (48 ÷ 16) = (-31/3) / 3

Dividing the numerator and denominator: (-31/3) / 3 = (-31/3) * (1/3) = -31/9

Therefore, the final result is -31/9.