Question

1/4+2/9(3/8-1/9)+25/36бонус:7 5/6+4 2/36-5 2/3.​

Answer 1

Ответ:

1)17/36

2)23/24

3)12 1/2

4)1/3

Answer 2

To solve this expression, let's break it down step by step.

First, let's simplify the expression within the parentheses:

3/8 - 1/9

To subtract these fractions, we need a common denominator, which is 72. So, we'll rewrite both fractions with a denominator of 72:

(3/8) * (9/9) - (1/9) * (8/8) (27/72) - (8/72)

Now, subtract the fractions:

(27/72) - (8/72) = (27 - 8) / 72 = 19/72

Now, we have the expression:

1/4 + 2/9 * (19/72) + 25/36

Next, let's simplify the multiplication of 2/9 and 19/72:

(2/9) * (19/72) = (2 * 19) / (9 * 72) = 38/648

Now, we have the expression:

1/4 + 38/648 + 25/36

To add these fractions, we need a common denominator, which is 648. So, we'll rewrite the other fractions with a denominator of 648:

(1/4) * (162/162) + (38/648) + (25/36) * (18/18)

Now, add the fractions:

(1 * 162) / 648 + 38/648 + (25 * 18) / 648

162/648 + 38/648 + 450/648

Now, add the fractions together:

(162 + 38 + 450) / 648 = 650/648

To simplify this fraction, you can find the greatest common divisor (GCD) of 650 and 648, which is 2:

(650/2) / (648/2) = 325/324

So, the simplified result of the expression is:

325/324

Now, let's move on to the bonus expression:

7 5/6 + 4 2/36 - 5 2/3

First, convert all the mixed numbers to improper fractions:

7 5/6 = (6 * 7 + 5) / 6 = 47/6 4 2/36 = (36 * 4 + 2) / 36 = 146/36 5 2/3 = (3 * 5 + 2) / 3 = 17/3

Now, we have the expression:

47/6 + 146/36 - 17/3

To add and subtract these fractions, we need a common denominator, which is 36. So, rewrite the fractions with a denominator of 36:

(47/6) * (6/6) + (146/36) - (17/3) * (12/12)

Now, perform the calculations:

(47 * 6) / 36 + 146/36 - (17 * 12) / 36

282/36 + 146/36 - 204/36

Now, add and subtract the fractions:

(282 + 146 - 204) / 36 = 224/36

To simplify this fraction, find the GCD of 224 and 36, which is 4:

(224/4) / (36/4) = 56/9

So, the simplified result of the bonus expression is:

56/9