Question

1)(2 4/5+2 2/3):(10 13/30-3 3/5)•2,5; 2)(2 5/14•4 2/3+12:2 1/4-15 1/4):(4 7/8-2 5/9 пожалуйста очень срочно надо!

Answer 1

Ответ:13325/8490

Пошаговое объяснение:

Answer 2

Ответ:1)(2 4/5+2 2/3):(10 13/30-3 3/5)•2,5=(4.8+7.(3)):(33.76-6.6)*2.5=(12.1:27.16)*2.5=0.445*2.5=0.178

Answer 3

1. Let's simplify the expression step by step:

Step 1: Convert mixed numbers to improper fractions. 2 4/5 = (2 × 5 + 4)/5 = 14/5 2 2/3 = (2 × 3 + 2)/3 = 8/3 10 13/30 = (10 × 30 + 13)/30 = 313/30 3 3/5 = (3 × 5 + 3)/5 = 18/5

Step 2: Perform the division inside the parentheses. (14/5 + 8/3) / (313/30 - 18/5)

Step 3: Find the least common denominator (LCD) for the fractions. LCD of 5, 3, and 30 is 30.

Step 4: Convert the fractions to have the same denominator. (14/5 × 6/6 + 8/3 × 10/10) / (313/30 - 18/5 × 6/6) = (84/30 + 80/30) / (313/30 - 108/30)

Step 5: Perform the addition and subtraction. (84/30 + 80/30) / (313/30 - 108/30) = 164/30 / 205/30 = (164/30) × (30/205) = 164/205

Step 6: Multiply by 2.5. 164/205 × 2.5 = (164 × 2.5) / 205 = 410/205 = 2

Therefore, the value of the expression (2 4/5 + 2 2/3) / (10 13/30 - 3 3/5) • 2.5 is equal to 2.

2. Let's simplify the second expression step by step:

Step 1: Convert mixed numbers to improper fractions. 2 5/14 = (2 × 14 + 5)/14 = 33/14 4 2/3 = (4 × 3 + 2)/3 = 14/3 12 = 12 2 1/4 = (2 × 4 + 1)/4 = 9/4 15 1/4 = (15 × 4 + 1)/4 = 61/4 4 7/8 = (4 × 8 + 7)/8 = 39/8 2 5/9 = (2 × 9 + 5)/9 = 23/9

Step 2: Perform the multiplication, division, and subtraction inside the parentheses. (33/14 × 14/3 + 12 ÷ 9/4 - 61/4) / (39/8 - 23/9)

Step 3: Find the least common denominator (LCD) for the fractions. LCD of 14, 3, 4, 9, and 8 is 504.

Step 4: Convert the fractions to have the same denominator. (33/14 × 36/12 + 12 ÷ 112/504 - 183/504) / (273/504 - 112/504) = (99/84 + 12 ÷ 112/504 - 183/504) / (273/504 - 112/504)

Step 5: Perform the multiplication, division, and subtraction. (99/84 + 12 ÷ 112/504 - 183/504) / (273/504 - 112/504) = (99/84 + 12 × 504/112 - 183/504) / (273/504 - 112/504) = (99/84 + 6/1 - 183/504) / (273/504 - 112/504) = (297/252 + 3024/112 - 183/504) / (273/504 - 112/504) = (297/252 + 27/1 - 183/504) / (273/504 - 112/504) = (297/252 + 27/1 - 183/504) / (161/504) = (9/7 + 27/1 - 183/504) / (161/504) = (1813/504) / (161/504) = (1813/504) × (504/161) = 1813/161

Therefore, the value of the expression (2 5/14 • 4 2/3 + 12 ÷ 2 1/4 - 15 1/4) / (4 7/8 - 2 5/9) is equal to 1813/161.