Question

1)2/3x - 1/6x + 8/9x; 2) - 15/16y + 3/8 y - 1/4y; 3) 23/24z -5/8z - 7/12z; 4)8 1/15a + 3 2/3a - 20 4/5s;. ​

Answer 1

Пошаговое объяснение:

1)7/9+18/16-23/27

2)21/37-3/6+3/6

Answer 2

Let's simplify each of the expressions:

1. 2/3x - 1/6x + 8/9x

To simplify, find a common denominator, which in this case is 18x:

(2/3x)(6/6) - (1/6x)(3/3) + (8/9x)(2/2) = (12/18x) - (3/18x) + (16/18x)

Now, add the fractions:

(12/18x - 3/18x + 16/18x)

Combine the fractions:

(12 - 3 + 16)/(18x) = 25/18x

2. -15/16y + 3/8y - 1/4y

To simplify, find a common denominator, which in this case is 16y:

(-15/16y) + (3/8y) - (1/4y)

Now, add the fractions:

(-15/16y + 6/16y - 4/16y)

Combine the fractions:

(-15 + 6 - 4)/(16y) = -13/16y

3. 23/24z - 5/8z - 7/12z

To simplify, find a common denominator, which in this case is 24z:

(23/24z) - (5/8z) - (7/12z)

Now, add the fractions:

(23/24z - 15/24z - 14/24z)

Combine the fractions:

(23 - 15 - 14)/(24z) = -6/24z

Simplify further by dividing both the numerator and denominator by their greatest common factor, which is 6:

(-6/24z) ÷ (6/6) = -1/4z

4. 8 1/15a + 3 2/3a - 20 4/5s

To simplify mixed numbers, first convert them to improper fractions:

8 1/15a = (8 * 15/15) + (1/15) = 121/15a 3 2/3a = (3 * 3/3) + (2/3) = 11/3a 20 4/5s = (20 * 5/5) + (4/5) = 104/5s

Now, you can add the fractions and simplify:

(121/15a) + (11/3a) - (104/5s)

To add fractions, find a common denominator, which in this case is 15a:

[(121/15a)(1/1)] + [(11/3a)(5/5)] - [(104/5s)(3a/3a)]

Now, add the fractions:

(121/15a) + (55/15a) - (312/15as)

Combine the fractions:

(121 + 55 - 312)/(15as) = (-136)/(15as)

So, the simplified expression is: -136/(15as)