Question

Помогите пожалуйста по математике. Найдите значения выражений, представив обыкновенные дроби в виде десятичных дробей. 1) 2 7\10-1 7\100-31\100 2) 43\100- 128\1000 3)3\10-25\100

Answer 1

1) 2,7 - 1, 07 - 0, 31 = 1.32 или обыкновенная 1 32/100
2) 0, 43 - 0, 128 =0, 302  или обыкновенная 302/1000
3) 0,3 - 0, 25 = 0, 05  или обыкновенная 5/100

Answer 2

1) 2 7/10 - 1 7/100 - 31/100:

To find the value of this expression, we need to convert the mixed numbers and the fraction into decimal form and then perform the subtraction.

First, let's convert the mixed numbers into improper fractions:

2 7/10 = (2 * 10 + 7)/10 = 27/10

1 7/100 = (1 * 100 + 7)/100 = 107/100

Now we can rewrite the expression:

27/10 - 107/100 - 31/100

To subtract fractions, we need to have a common denominator. In this case, the common denominator is 100. Let's convert all the fractions:

27/10 = (27 * 10)/ (10 * 10) = 270/100

107/100 = 107/100

31/100 = 31/100

Now the expression becomes:

270/100 - 107/100 - 31/100

To subtract fractions with the same denominator, we subtract the numerators and keep the denominator the same. Let's do the subtraction:

(270 - 107 - 31)/100 = 132/100

Finally, we can simplify the fraction 132/100 by dividing both the numerator and denominator by their greatest common divisor, which is 4:

132/100 = (132/4)/(100/4) = 33/25

So the value of the expression 2 7/10 - 1 7/100 - 31/100 is 33/25 or 1.32 in decimal form.

2) 43/100 - 128/1000:

In this expression, we need to subtract the fractions. To do so, we need to have a common denominator. In this case, the common denominator is 1000. Let's convert the fractions:

43/100 = (43 * 10)/ (100 * 10) = 430/1000

128/1000 = 128/1000

Now the expression becomes:

430/1000 - 128/1000

To subtract fractions with the same denominator, we subtract the numerators and keep the denominator the same. Let's do the subtraction:

(430 - 128)/1000 = 302/1000

Finally, we can simplify the fraction 302/1000 by dividing both the numerator and denominator by their greatest common divisor, which is 2:

302/1000 = (302/2)/(1000/2) = 151/500

So the value of the expression 43/100 - 128/1000 is **151/500