A)5 7/12 +41/3
б)2 1/16:2 1/4
в)1 1/5:2 1/10*1 5/6
г)7 11/15-3 3/20
д)1 1/7*1 /34

Предыдущий
вопрос Следующий
вопрос

A) 5 7/12 + 41/3
Convert 5 to an improper fraction: 5 = 5 * 12/12 = 60/12
Now the equation becomes: 60/12 + 7/12 + 41/3
Combine the fractions: 60/12 + 7/12 = 67/12
Now the equation becomes: 67/12 + 41/3

To add these two fractions, we need a common denominator. The common denominator of 12 and 3 is 12.

Convert the fractions into equivalent fractions with the denominator 12:
67/12 + 41/3 = 67/12 + 41 4/3 4 = 67/12 + 164/12 = 231/12

231/12 is an improper fraction, which can be simplified to: 19 3/12 or 19 1/4

So, 5 7/12 + 41/3 = 19 1/4

B) 2 1/16 : 2 1/4
To divide fractions, invert the second fraction (i.e., the divisor) and then multiply:
2 1/16 ÷ 2 1/4 = 33/16 ÷ 9/4

Convert the fractions to improper fractions:
33/16 ÷ 9/4 = 33/16 ÷ 36/16

Now, divide the fractions: (33/16) / (36/16) = 33/36 = 11/12

So, 2 1/16 ÷ 2 1/4 = 11/12

C) 1 1/5 ÷ 2 1/10 1 5/6
To solve this expression, use the order of operations (PEMDAS/BODMAS):
First, divide the fractions:
1 1/5 ÷ 2 1/10 1 5/6 = 6/5 ÷ 21/10 * 11/6

Convert the fractions to improper fractions:
6/5 ÷ 21/10 11/6 = 6/5 ÷ 21/10 11/6

Now, multiply and then divide:
(6/5 10/21) (11/6) = 12/7 * 11/6 = 1 5/14

So, 1 1/5 ÷ 2 1/10 * 1 5/6 = 1 5/14

D) 7 11/15 - 3 3/20
Convert the mixed numbers to improper fractions:
7 11/15 - 3 3/20 = 116/15 - 63/20

To subtract fractions, find the common denominator (60 in this case):
(116 4) / (15 4) - (63 3) / (20 3) = 464/60 - 189/60

Now, subtract the fractions: 464/60 - 189/60 = 275/60 = 4 35/60 = 4 7/12

So, 7 11/15 - 3 3/20 = 4 7/12

E) 1 1/7 1/34
Convert the mixed number to an improper fraction:
1 1/7 = (1 7 + 1)/7 = 8/7

Now, multiply the fractions:
8/7 * 1/34 = 8/238 = 2/59

So, 1 1/7 * 1/34 = 2/59.