Question

Обчисліть (3 1/15-1 1/15:1 3/5 +2/5)*2 1/7-5

Answer 1

$(3 \frac{1}{15} - 1 \frac{1}{15} \div 1 \frac{3}{5 }+ \frac{2}{5}) \times 2 \frac{1}{7} - 5 = \\ \\ = ( \frac{46}{15} - \frac{16}{15} \div \frac{8}{5} + \frac{2}{5} ) \times \frac{15}{7 } - 5 = \\ \\ = ( \frac{46}{15} - \frac{2}{3} + \frac{2}{5} ) \times \frac{15}{7} - 5 = \frac{42}{15} \times \frac{15}{7} - 5 = \\ \\ = 6 - 5 = 1$

ОТВЕТ : 1

Answer 2

$(3 \frac{1}{15} - 1 \frac{1}{15} \div 1 \frac{3}{5} + \frac{2}{5} ) \times 2 \frac{1}{7} - 5 = ( \frac{46}{15} - \frac{16}{15} \div \frac{8}{5} + \frac{2}{5} ) \times \frac{15}{7} - 5 = ( \frac{46}{15} - \frac{16}{15} \times \frac{5}{8} + \frac{2}{5} ) \times \frac{15}{7} - 5 = ( \frac{46}{15} - \frac{2}{3} + \frac{2}{5} ) \times \frac{15}{7} - 5 = ( \frac{46}{15} - \frac{10}{15} + \frac{6}{15} ) \times \frac{15}{7} - 5 = \frac{42}{15} \times \frac{15}{7} - 5 = 6 - 5 = 1$

Answer 3

To solve the given expression, we'll perform the calculations step by step. Let's break it down:

Step 1: Calculate the value of (3 1/15 - 1 1/15) : (1 3/5 + 2/5). Step 2: Multiply the result from Step 1 by 2 1/7. Step 3: Subtract 5 from the result of Step 2.

Let's begin:

Step 1: To perform the subtraction, we need to find a common denominator. The common denominator for 15 and 5 is 15. So, the expression becomes:

(315 + 1) / 15 - (115 + 1) / 15 : (1*15 + 3) / 5 + 2/5

Now, perform the arithmetic:

(46 / 15) - (16 / 15) : (18 / 5) + 2/5

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

(46 / 15) - (16 / 15) * (5 / 18) + 2/5

Now, perform the multiplication and subtraction:

(46 / 15) - (16 / 15) * (5 / 18) + 2/5 = (46 / 15) - (4 / 9) + 2/5

To add or subtract fractions, they need a common denominator. The common denominator for 15 and 9 is 45. So, the expression becomes:

(46 / 15) - (20 / 45) + (18 / 45)

Now, perform the arithmetic:

(46 / 15) - (20 / 45) + (18 / 45) = (46 / 15) - (2 / 45)

Now, convert the result back to a mixed fraction:

(46 / 15) - (2 / 45) = (46*3 + 2) / 15 = 138 + 2 / 15 = 140 / 15 = 9 5/15 = 9 1/3

Step 2: Now, multiply the result from Step 1 by 2 1/7:

(9 1/3) * (2 1/7)

To perform the multiplication, convert both mixed fractions to improper fractions:

(28/3) * (15/7)

Now, perform the multiplication:

(28/3) * (15/7) = 420/21 = 20

Step 3: Finally, subtract 5 from the result of Step 2:

20 - 5 = 15

So, the final result of the expression is 15.