Question

Помогите решить пожалуйста! 1 а) 1 целая 4/9+ 2 целые 5/18 б) 3 целых 5/24 - 1 целая 7/36 в) 2 целых 7/30 + 3 целых 9/20- 4 целых 59/60 в) по действиям

Answer 1

1) 1 4/9 + 2 5/18 = 1 8/18 + 2 5/18 = 3 13/18,

2) 3 5/24 - 1 7/36 = 3 15/72 - 1 14/72 = 2 1/72,

3) 2 7/30 + 3 9/20 - 4 59/60 =
    = 2 14/60 + 3 27/60 - 4 59/60 = 1 - 18/60 = 60/60 - 18/60 = 42/60 = 7/10

Answer 2

Problem Statement

The problem is to solve the following expression: 1) a) 1 whole + 4/9 2) b) 2 whole + 5/18 3) c) 3 whole + 5/24 - 1 whole + 7/36 4) d) 2 whole + 7/30 + 3 whole + 9/20 - 4 whole + 59/60

Solution

Let's solve each expression step by step:

a) 1 whole + 4/9 To add a whole number and a fraction, we need to convert the whole number to a fraction with the same denominator as the fraction. The denominator for 4/9 is already 9, so we can write 1 whole as 9/9. Now we can add the fractions: 1 whole + 4/9 = 9/9 + 4/9 = (9 + 4)/9 = 13/9

b) 2 whole + 5/18 Again, we convert the whole number to a fraction with the same denominator as the fraction: 2 whole + 5/18 = 36/18 + 5/18 = (36 + 5)/18 = 41/18

c) 3 whole + 5/24 - 1 whole + 7/36 First, convert the whole numbers to fractions with the same denominator as the fractions: 3 whole + 5/24 = 72/24 + 5/24 = (72 + 5)/24 = 77/24 1 whole + 7/36 = 36/36 + 7/36 = (36 + 7)/36 = 43/36

Now, subtract the fractions: 77/24 - 43/36 To subtract fractions, we need to find a common denominator. The least common multiple of 24 and 36 is 72. Let's convert the fractions: 77/24 = (77 * 3)/(24 * 3) = 231/72 43/36 = (43 * 2)/(36 * 2) = 86/72

Now, subtract the fractions: 231/72 - 86/72 = (231 - 86)/72 = 145/72

d) 2 whole + 7/30 + 3 whole + 9/20 - 4 whole + 59/60 Again, convert the whole numbers to fractions with the same denominator as the fractions: 2 whole + 7/30 = 60/30 + 7/30 = (60 + 7)/30 = 67/30 3 whole + 9/20 = 60/20 + 9/20 = (60 + 9)/20 = 69/20 4 whole + 59/60 = 240/60 + 59/60 = (240 + 59)/60 = 299/60

Now, add the fractions: 67/30 + 69/20 - 299/60 To add fractions, we need to find a common denominator. The least common multiple of 30, 20, and 60 is 60. Let's convert the fractions: 67/30 = (67 * 2)/(30 * 2) = 134/60 69/20 = (69 * 3)/(20 * 3) = 207/60 299/60 = 299/60

Now, add the fractions: 134/60 + 207/60 - 299/60 = (134 + 207 - 299)/60 = 42/60 = 7/10

Final Answer

The solutions to the given expressions are: a) 1 whole + 4/9 = 13/9 b) 2 whole + 5/18 = 41/18 c) 3 whole + 5/24 - 1 whole + 7/36 = 145/72 d) 2 whole + 7/30 + 3 whole + 9/20 - 4 whole + 59/60 = 7/10