Question

9/8 : (3 1/3 - 1 5/6)

Answer 1

9/8:(1- 1x5/6)
9/8:(1-5/6)
9/8 / 1/6
9/8 x 6
9/4 x 3
Ответ: 27/4, p.s 6.75

Answer 2

To solve the expression 9/8 : (3 1/3 - 1 5/6), let's break it down step by step:

First, let's simplify the expression inside the parentheses: 3 1/3 - 1 5/6

To subtract mixed numbers, we need to find a common denominator. The common denominator in this case is 6.

Converting 3 1/3 to an improper fraction: 3 1/3 = (3 * 3 + 1) / 3 = 10/3

Converting 1 5/6 to an improper fraction: 1 5/6 = (1 * 6 + 5) / 6 = 11/6

Now we can subtract the fractions: 10/3 - 11/6

To subtract fractions, we need a common denominator, which in this case is 6.

Multiplying the numerator and denominator of the first fraction (10/3) by 2, we get: (10 * 2) / (3 * 2) = 20/6

Now we can subtract the fractions: 20/6 - 11/6 = (20 - 11) / 6 = 9/6 = 3/2

Now let's substitute the simplified expression back into the original expression: 9/8 : (3 1/3 - 1 5/6) = 9/8 : (3/2)

To divide by a fraction, we can multiply by its reciprocal. The reciprocal of 3/2 is 2/3.

Multiplying 9/8 by 2/3: (9/8) * (2/3) = (9 * 2) / (8 * 3) = 18/24

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 6: (18/6) / (24/6) = 3/4

Therefore, the value of the expression 9/8 : (3 1/3 - 1 5/6) is 3/4.