Question

2 11/15 ×1 1/19 - 1 1/19 × 3/10 - 1 1/6×1 1/19 Распишите

Answer 1

1 1/19*(2 11/15-3/10-1 1/6)=1 1/19*(2 22/30-9/30-1 5/30)=1 1/19*1  8/30=

20/19*19/15=4/3=1  1/3

Answer 2

To simplify this expression, we can start by converting all the mixed numbers to improper fractions.

2 11/15 can be written as (2 × 15 + 11)/15 = 41/15

1 1/19 can be written as (1 × 19 + 1)/19 = 20/19

1 1/6 can be written as (1 × 6 + 1)/6 = 7/6

Substituting these values, the expression becomes:

(41/15 × 20/19) - (20/19 × 3/10) - (7/6 × 20/19)

To multiply fractions, we simply multiply their numerators and denominators. So:

(41 × 20)/(15 × 19) - (20 × 3)/(19 × 10) - (7 × 20)/(6 × 19)

Simplifying the fractions in the numerator and denominator:

(820/285) - (60/190) - (140/114)

To add or subtract fractions with different denominators, we need to find a common denominator. Here, the least common multiple of 285, 190, and 114 is 2,710. So:

(820 × 190)/(285 × 190) - (60 × 271)/(190 × 271) - (140 × 114)/(114 × 271)

Simplifying:

(820 × 190 - 60 × 271 - 140 × 114)/2,710

(155,800 - 16,260 - 15,960)/2,710

123,580/2,710

45.57 (rounded to two decimal places)

Therefore, the final answer is 45.57.