Question

1. 15 2/3 - 9 1/36 2. 3 2/5 + 8 7/15 - 9 3/20 3. 111 11/40 - a ,ЯКЩО a = 50 1/8 4. 10 7/24 - x = 3 1/6 5. 2 1/3 M, 1 2/9 * M 2 6/27 * M

Answer 1

Ответ:

1. 15 2/3 - 9 1/36

2. 3 2/5 + 8 7/15 - 9 3/20

3. 111 11/40 - a ,ЯКЩО a = 50 1/8

4. 10 7/24 - x = 3 1/6

5. 2 1/3 M, 1 2/9 * M 2 6/27 * M=10000М

Answer 2

Let's solve the given expressions step by step:

1. 15 2/3 - 9 1/36: To subtract mixed numbers, we need to convert them into improper fractions. 15 2/3 = (3 * 15 + 2)/3 = 47/3 9 1/36 = (36 * 9 + 1)/36 = 325/36

Now we can subtract the fractions: 47/3 - 325/36

To subtract fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 36 since it is a multiple of both 3 and 36.

Converting the fractions to have a common denominator: 47/3 = (47/3) * (12/12) = 564/36 325/36

Now we can subtract the fractions: 564/36 - 325/36 = (564 - 325)/36 = 239/36

Therefore, 15 2/3 - 9 1/36 = 239/36.

2. 3 2/5 + 8 7/15 - 9 3/20: To add and subtract mixed numbers, we need to convert them into improper fractions. 3 2/5 = (5 * 3 + 2)/5 = 17/5 8 7/15 = (15 * 8 + 7)/15 = 127/15 9 3/20 = (20 * 9 + 3)/20 = 183/20

Now we can perform the operations: 17/5 + 127/15 - 183/20

To add and subtract fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 60 since it is a multiple of 5, 15, and 20.

Converting the fractions to have a common denominator: 17/5 = (17/5) * (12/12) = 204/60 127/15 = (127/15) * (4/4) = 508/60 183/20 = (183/20) * (3/3) = 549/60

Now we can add and subtract the fractions: 204/60 + 508/60 - 549/60 = (204 + 508 - 549)/60 = 163/60

Therefore, 3 2/5 + 8 7/15 - 9 3/20 = 163/60.

3. 111 11/40 - a, if a = 50 1/8: To subtract mixed numbers, we need to convert them into improper fractions. 111 11/40 = (40 * 111 + 11)/40 = 4441/40

Substituting the value of a: a = 50 1/8 = (8 * 50 + 1)/8 = 401/8

Now we can subtract the fractions: 4441/40 - 401/8

To subtract fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 40 since it is a multiple of both 40 and 8.

Converting the fractions to have a common denominator: 4441/40 = (4441/40) * (1/1) = 4441/40 401/8 = (401/8) * (5/5) = 2005/40

Now we can subtract the fractions: 4441/40 - 2005/40 = (4441 - 2005)/40 = 243