Question

1) (3 7/16:20 5/8-2/15)×0,9+1,17​

Answer 1

Ответ:

1,2

Пошаговое объяснение:

1) 3 7/16 : 20 5/8 = 55/16 : 165/8 = 55/16 * 8/165 = 1/2 * 1/3 = 1/6

2) 1/6 - 2/15 = 5/30 - 4/30 = 1/30

3) 1/30 * 0,9 = 1/30 * 9/10 = 1/10 * 3/10 = 3/100 = 0,03

4) 0,03 + 1,17 = 1,2

Answer 2

To simplify the expression (3 7/16 : 20 5/8 - 2/15) × 0.9 + 1.17, you can follow these steps:

Step 1: Convert mixed numbers to improper fractions. 3 7/16 becomes (3 * 16 + 7)/16 = (48 + 7)/16 = 55/16 20 5/8 becomes (20 * 8 + 5)/8 = (160 + 5)/8 = 165/8

Step 2: Perform the division, multiplication, and addition. (55/16 : 165/8 - 2/15) × 0.9 + 1.17

First, divide the fractions: (55/16 : 165/8 - 2/15) × 0.9 + 1.17 = (55/16 : 165/8) - 2/15 × 0.9 + 1.17

Now, divide the fractions. When dividing fractions, you can multiply by the reciprocal of the divisor: = (55/16) × (8/165) - 2/15 × 0.9 + 1.17

= (11/4) × (2/33) - 2/15 × 0.9 + 1.17

Now, multiply: = (22/132) - (18/150) + 1.17

Simplify each fraction: = (1/6) - (3/25) + 1.17

To add and subtract fractions, you need a common denominator. The least common multiple of 6 and 25 is 150, so we need to adjust the fractions accordingly:

= (25/150) - (18/150) + 1.17

Now, combine the fractions: = (25 - 18)/150 + 1.17

= 7/150 + 1.17

Now, add the fractions and the decimal: = 7/150 + 1.17

To add these, you need to have a common denominator. The common denominator is 150:

= (7/150) + (1.17 * 150/150)

= 7/150 + 175.5/150

Now, you can add them: = (7 + 175.5)/150

= 182.5/150

Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:

= (182.5/2) / (150/2)

= 91.25 / 75

So, the final result is 91.25/75.