Question

4/45:(12/25-4/15)+5/16×4/15​

Answer 1

4/45 : (12/25 - 4/15) + 5/16 · 4/15 = 1/2

1) 12/25 - 4/15 = 36/75 - 20/75 = 16/75

2) 4/45 : 16/75 = 4/45 · 75/16 = (1·5)/(3·4) = 5/12

3) 5/16 · 4/15 = (1·1)/(4·3) = 1/12

4) 5/12 + 1/12 = 6/12 = 1/2

Ответ: 1/2 (или 0,5 в десятичных дробях).

Answer 2

Ответ: 1/2

Пошаговое объяснение:

Answer 3

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

Step 1: Simplify the terms within parentheses. Inside the parentheses, we have (12/25 - 4/15). To subtract these fractions, we need to find a common denominator. The least common multiple (LCM) of 25 and 15 is 75. So, let's convert the fractions to have a denominator of 75:

(12/25 - 4/15) = (12/25 * 3/3) - (4/15 * 5/5) = 36/75 - 20/75

Step 2: Combine the fractions inside the parentheses. Now that the fractions have the same denominator, we can subtract them:

(36/75 - 20/75) = (36 - 20)/75 = 16/75

Step 3: Simplify the remaining multiplication. The expression now becomes:

4/45 + (5/16 * 4/15)

To multiply fractions, simply multiply the numerators together and multiply the denominators together:

(5/16 * 4/15) = (5 * 4)/(16 * 15) = 20/240 = 1/12

Step 4: Combine the fractions and perform addition. Now, we have:

4/45 + 1/12

To add fractions, we need to find a common denominator. The LCM of 45 and 12 is 180. Let's convert the fractions to have a denominator of 180:

(4/45 * 4/4) + (1/12 * 15/15) = 16/180 + 15/180 = 31/180

Therefore, the simplified expression is 31/180.