Question

(1,35-6 8/15):(2 4/5 + 0,2)

Answer 1

(1,35 - 6 8/15) : (2 4/5 + 0,2) = 1 131/180,

1)  1,35 - 6 8/15 = 135/100 - 98/15 = 405/300 - 1960/300 = 1555/300 = 311/60 = 5 11/60,
2)  2 4/5 + 0,2 = 14/5 + 2/10 = 28/10 + 2/10 = 30/10 = 3,
3)  5 11/60 : 3 = 311/60 : 3 = 311/60 * 1/3 = 311/180 = 1 131/80

Answer 2

To simplify the expression (1,35-6 8/15):(2 4/5 + 0,2), we first need to convert the mixed numbers to improper fractions, and then perform the necessary operations according to the order of operations (PEMDAS).

1,35 can be written as an improper fraction by multiplying the whole number by the denominator of the fraction and adding the numerator, so:

1,35 = 1 + 35/100 = 100/100 + 35/100 = 135/100

6 8/15 can be converted to an improper fraction as follows:

6 8/15 = (6 x 15)/15 + 8/15 = 90/15 + 8/15 = 98/15

2 4/5 can be written as an improper fraction as follows:

2 4/5 = (2 x 5)/5 + 4/5 = 10/5 + 4/5 = 14/5

Now we can substitute these values into the expression:

(135/100 - 98/15) : (14/5 + 0.2)

Next, we need to simplify the expression inside the parentheses by adding the decimal and fraction together:

14/5 + 0.2 = 14/5 + 2/10 = 28/10 + 1/10 = 29/10

Substituting back into the original expression, we get:

(135/100 - 98/15) : 29/10

To divide by a fraction, we can multiply by its reciprocal:

(135/100 - 98/15) x 10/29

To subtract the fractions, we need a common denominator. The least common multiple of 100 and 15 is 300, so we will convert both fractions to have a denominator of 300:

(135/100) x (3/3) = 405/300 (98/15) x (20/20) = 1960/300

Substituting these values and multiplying, we get:

(405/300 - 1960/300) x 10/29 = (-1555/300) x (10/29)

Simplifying the product:

(-1555/300) x (10/29) = -7775/1740

This is the final simplified expression, which can be converted back to a mixed number if desired.