Question

(6 3/8-2 3/4)*(-4)+7/18*9=9 1/6:(4 1/3-8)+24*3/8​=

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve the given expression, let's break it down step by step:

Step 1: Simplify the first expression: (6 3/8 - 2 3/4) * (-4) + 7/18 * 9

To subtract mixed numbers, convert them into improper fractions: 6 3/8 = (8 * 6 + 3) / 8 = 51/8 2 3/4 = (4 * 2 + 3) / 4 = 11/4

Subtract the fractions: (51/8 - 11/4) * (-4) + 7/18 * 9

Find a common denominator for 8 and 4, which is 8: (51/8 - 22/8) * (-4) + 7/18 * 9

Simplify the subtraction and multiplication: (29/8) * (-4) + 7/18 * 9

Multiply: (-29/2) + (63/18)

Convert both fractions to have a common denominator of 18: (-29/2) * (9/9) + (63/18)

Multiply the numerators and denominators: (-261/18) + (63/18)

Combine the fractions: (-261 + 63) / 18 = (-198) / 18 = -11

So, the first expression simplifies to -11.

Step 2: Simplify the second expression: 9 1/6 : (4 1/3 - 8) + 24 * 3/8

Again, convert the mixed numbers into improper fractions: 9 1/6 = (6 * 9 + 1) / 6 = 55/6 4 1/3 = (3 * 4 + 1) / 3 = 13/3

Subtract the fractions: (13/3 - 8) + 24 * 3/8

Multiply the fractions: (13/3 - 8) + 9 * 3/8

Simplify the subtraction and multiplication: (13/3 - 24/3) + 27/8

Combine the fractions: (-11/3) + 27/8

To add these fractions, we need to find a common denominator. The least common multiple of 3 and 8 is 24: (-11/3) * (8/8) + (27/8) * (3/3)

Multiply the numerators and denominators: (-88/24) + (81/24)

Combine the fractions: (-88 + 81) / 24 = (-7) / 24

So, the second expression simplifies to -7/24.

Therefore, the simplified expressions are:

First expression: -11 Second expression: -7/24