Question

(3/8+ 7/16) : 1 5/8 - 3,5 * 0,3

Answer 1

Ответ:

решение:

1)3/8+7/16=2*3/2*8+1*7/1*16=6/16+7/16=6+7/16=13/16

2)13/16:15/8=13/16*8/15=13*8/16*15=104/240=13*8/30*8=13/30

3)13/30  надо перевести на десятки:-0,43333333333333-3,5=-3,0666667

4)-3,0666667*0,3=-0,92

Ответ:-0,92

Пошаговое объяснение:

Answer 2

To simplify the expression, let's convert the fractions and decimals into a common format:

First, let's convert the mixed number into an improper fraction: 1 5/8 = (1 * 8 + 5) / 8 = 13/8

Next, let's convert the decimals into fractions: 3.5 = 3 + 0.5 = 3 + 1/2 = 6/2 + 1/2 = 7/2 0.3 = 3/10

Now we can substitute the values into the expression and simplify:

(3/8 + 7/16) / (13/8 - 7/2 * 3/10)

To add fractions, we need to find a common denominator, which is 16 in this case:

(6/16 + 7/16) / (13/8 - 21/20)

= 13/16 / (13/8 - 21/20)

To subtract fractions, we need to find a common denominator, which is 20 in this case:

= 13/16 / ((13/8 * 20/20) - (21/20))

= 13/16 / (260/160 - 21/20)

To subtract fractions, we need to find a common denominator, which is 160 in this case:

= 13/16 / ((260/160) - (168/160))

= 13/16 / (92/160)

To divide fractions, we multiply by the reciprocal of the second fraction:

= 13/16 * (160/92)

= 13/16 * 20/11

= (13 * 20) / (16 * 11)

= 260/176

Now we can simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD):

GCD(260, 176) = 4

= (260/4) / (176/4)

= 65/44

Therefore, the simplified value of the expression (3/8 + 7/16) / (1 5/8 - 3.5 * 0.3) is 65/44.