Question

1) 3 целых 5/18 : 59/60 + 2,6 2)(2 целых 12/13 - 1 целых 9/52) * (1,4 +3,8) 3) 7,29 * 1,2 +2,7 : 5,6 _______________ = 2/3 - 2/3 * 0,6

Answer 1

Ответ:

а 3) 7,29×1.2+2.7:5.6 8.748+0,(4821428) 9.2301428

----------------------------- = -------------------------- = ----------------

2/3-2/3×0,6 0,6 0,6

Answer 2

1. To solve the expression: 3 целых 5/18 : 59/60 + 2,6

First, let's convert the mixed number "3 целых 5/18" into an improper fraction: 3 целых 5/18 = (3 * 18 + 5) / 18 = 59/18

Next, we can rewrite the expression: (59/18) : (59/60) + 2.6

When dividing fractions, we can multiply the first fraction by the reciprocal of the second fraction: (59/18) * (60/59) + 2.6

The common factor of 59 in the numerator and denominator cancels out: (1 * 60/18) + 2.6

Simplifying the fraction: 60/18 = 20/6 = 10/3

Now, we can substitute the simplified fraction into the expression: (10/3) + 2.6

To add fractions, we need a common denominator. Since 3 is already a denominator, we can convert 2.6 to a fraction with 3 as the denominator: 2.6 = 26/10 = 13/5

Now, we have: (10/3) + (13/5)

To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 3 * 5 = 15: [(10 * 5) / (3 * 5)] + [(13 * 3) / (5 * 3)] (50/15) + (39/15)

Adding the fractions: (50 + 39)/15 = 89/15

Therefore, the simplified answer is 89/15.

2. To solve the expression: (2 целых 12/13 - 1 целых 9/52) * (1.4 + 3.8)

First, let's convert the mixed numbers to improper fractions: 2 целых 12/13 = (2 * 13 + 12) / 13 = 38/13 1 целых 9/52 = (1 * 52 + 9) / 52 = 61/52

Now, we can rewrite the expression: (38/13 - 61/52) * (1.4 + 3.8)

To subtract fractions, we need a common denominator. The common denominator for 13 and 52 is 52: [(38 * 4) / (13 * 4)] - [(61 * 1) / (52 * 1)] (152/52) - (61/52)

Subtracting the fractions: (152 - 61)/52 = 91/52

Now, let's simplify the expression further: (91/52) * (1.4 + 3.8)

Adding the numbers inside the parentheses: (91/52) * 5.2

To multiply a fraction by a decimal, we can convert the decimal to a fraction: 5.2 = 52/10 = 26/5

Now, we have: (91/52) * (26/5)

To multiply fractions, we can multiply the numerators and multiply the denominators: (91 * 26) / (52 * 5)

Simplifying: 2366/260 = 1183/130

Therefore, the simplified answer is 1183/130.

3. To solve the expression: 7.29 * 1.2 + 2.7 : 5.6 _______________ = 2/3 - 2/3 * 0.6

Let's simplify the left side of the equation first: 7.29 * 1.2 + 2.7 : 5.6

Multiplying: 8.748 + 2.7 : 5.6

Dividing: 8.748 + 0.482142857...

Adding: 9.230142857...

Now, let's simplify the right side of the equation: 2/3 - 2/3 * 0.6

Multiplying: 2/3 - (2/3 * 0.6)

Calculating: 2/3 - (2/3 * 0.6) = 2/3 - 1.2/3

Subtracting: 2/3 - 1.2/3 = (2 - 1.2)/3 = 0.8/3

Now, let's put it all together: 9.230142857... / (0.8/3)

To divide by a fraction, we can multiply by its reciprocal: 9.230142857... * (3/0.8)

Multiplying: 9.230142857... * 3/0.8 = 27.690428571... / 0.8

Dividing: 27.690428571... / 0.8 = 34.612857142...

Therefore, the simplified answer is approximately 34.612857142...