Question

Решите пожалуйста !!! Ответ нужно перевести в десятичнюю дробь!!!1. (2 2/3-7/12):5/842. (1-49/10):1 3/103. (2/7+7/3):11/634. (3 23/26+1,7):1/195

Answer 1

1.(96/36-21/36):5/84= 75/36* 84/5=15*14/6=35

2.(10/10-49/10 ):13/10= -39/10*10/13=-3

3. (6/21+49/21):11/63=55/21*63/11=15

4. (1010/260+442/260):1/195= 1452/260*195/1=121

Answer 2

Problem 1: (2 + 2/3 - 7/12) ÷ 5/8

To solve this problem, we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

Let's break down the steps:

Step 1: Simplify the expression inside the parentheses. - 2 + 2/3 - 7/12 = 8/3 - 7/12

Step 2: Find a common denominator for the fractions. - The common denominator for 3 and 12 is 12.

Step 3: Convert the fractions to have the same denominator. - 8/3 = 32/12 - 7/12 (already in the correct form)

Step 4: Perform the subtraction. - 32/12 - 7/12 = 25/12

Step 5: Divide the result by 5/8. - (25/12) ÷ (5/8)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. - (25/12) ÷ (5/8) = (25/12) * (8/5)

Step 6: Multiply the fractions. - (25/12) * (8/5) = (25 * 8) / (12 * 5) = 200/60

Step 7: Simplify the fraction. - 200/60 = 10/3

Therefore, the answer to problem 1 is 10/3.

Problem 2: (1 - 49/10) ÷ (1 + 3/10)

Let's solve this problem step by step:

Step 1: Simplify the expression inside the parentheses. - 1 - 49/10 = 10/10 - 49/10 = -39/10

Step 2: Simplify the expression inside the second set of parentheses. - 1 + 3/10 = 10/10 + 3/10 = 13/10

Step 3: Divide the result. - (-39/10) ÷ (13/10)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. - (-39/10) ÷ (13/10) = (-39/10) * (10/13)

Step 4: Multiply the fractions. - (-39/10) * (10/13) = (-39 * 10) / (10 * 13) = -390/130

Step 5: Simplify the fraction. - -390/130 = -3/1

Therefore, the answer to problem 2 is -3.

Problem 3: (2/7 + 7/3) ÷ 11/63

Let's solve this problem step by step:

Step 1: Add the fractions inside the parentheses. - 2/7 + 7/3 = (2 * 3 + 7 * 7) / (7 * 3) = (6 + 49) / 21 = 55/21

Step 2: Divide the result by 11/63.

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. - (55/21) ÷ (11/63) = (55/21) * (63/11)

Step 3: Multiply the fractions. - (55/21) * (63/11) = (55 * 63) / (21 * 11) = 3465/231

Step 4: Simplify the fraction. - 3465/231 = 15/1

Therefore, the answer to problem 3 is 15.

Problem 4: (3 + 23/26 + 1.7) ÷ (1/195)

Let's solve this problem step by step:

Step 1: Convert the mixed number to an improper fraction. - 3 + 23/26 + 1.7 = 3 + 23/26 + 1 + 7/10 = 3 + 23/26 + 10/10 + 7/10 = 3 + 23/26 + 17/10 = 3 + (23 * 10 + 26 * 17) / (26 * 10) = 3 + 603/260

Step 2: Convert the decimal to a fraction. - 1.7 = 1 + 7/10 = 10/10 + 7/10 = 17/10

Step 3: Add the fractions. - 3 + 603/260 + 17/10 = (3 * 260 + 603) / 260 + 17/10 = (780 + 603) / 260 + 17/10 = 1383/260 + 17/10

Step 4: Convert the fractions to have the same denominator. - 1383/260 = 534/100 - 17/10 (already in the correct form)

Step 5: Add the fractions. - 534/100 + 17/10 = (534 * 10 + 17 * 100) / (100 * 10) = (5340 + 1700) / 1000 = 7040/1000

Step 6: Simplify the fraction. - 7040/1000 = 176/25

Therefore, the answer to problem 4 is 176/25.

I hope this helps! Let me know if you have any further questions.