Question

(2/3х+1/6)*1 1/15= 2 3/5

Answer 1

Ответ:

Пошаговое объяснение:

(2/3х+1/6)*1 1/15= 2 3/5

2/3х+1/6 = 2 3/5 : 1 1/15

2/3х+1/6 = 13/5 * 15/16

2/3х+1/6 = 39/16

2/3x = 39/16 - 1/6

2/3x = 117/48 - 8/48

2/3x = 109/48

x = 109/48 * 3/2

x = 109/32

x = 3 13/32

Answer 2

To simplify the expression (2/3x + 1/6) * 1 1/15, we can start by converting the mixed number 1 1/15 into an improper fraction.

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

Now, we can rewrite the expression:

(2/3x + 1/6) * 16/15

To multiply fractions, we multiply the numerators together and the denominators together:

[(2/3x) * (16/15)] + [(1/6) * (16/15)]

Multiplying the numerators gives:

(2 * 16) / (3x * 15) + (1 * 16) / (6 * 15)

Simplifying the numerator and denominator:

32 / (45x) + 16 / 90

Now, we need to find a common denominator to combine the fractions:

The least common multiple (LCM) of 45 and 90 is 90.

(32 * 2) / (45x * 2) + 16 / 90

64 / (90x) + 16 / 90

Now that we have a common denominator, we can add the fractions:

(64 + 16) / (90x)

80 / (90x)

Simplifying the fraction further:

8/9x

Therefore, the simplified expression (2/3x + 1/6) * 1 1/15 is equal to 8/9x.