Question

1) 0,5-2/7=........ 2) 0,53+ 5/16=..... 3) 8 11/24 - 5,35=...... 4) 6,625 - 3 6/17=.........

Answer 1

Ответ:

1) 3/14

2) 337/400

3) 3 13/120

4) 3 37/136

Answer 2

Let's solve each of the arithmetic expressions step by step:

1. 0.5 - 2/7:

To subtract fractions, we need a common denominator. The common denominator for 7 and 1 is 7. So, we can rewrite the expression as:

0.5 - 2/7 = 0.5 * 7/7 - 2/7 = 3.5/7 - 2/7 = (3.5 - 2)/7 = 1.5/7

Therefore, 0.5 - 2/7 is equal to 1.5/7.

2. 0.53 + 5/16:

To add fractions, we also need a common denominator. The common denominator for 16 and 100 is 16. So, we can rewrite the expression as:

0.53 + 5/16 = 0.53 * 16/16 + 5/16 = 8.48/16 + 5/16 = (8.48 + 5)/16 = 13.48/16

Therefore, 0.53 + 5/16 is equal to 13.48/16.

3. 8 11/24 - 5.35:

To subtract mixed numbers, we first need to convert them into improper fractions.

8 11/24 can be converted as follows: 8 * 24/24 + 11/24 = 192/24 + 11/24 = 203/24

Now we can subtract:

203/24 - 5.35 = 203/24 - 5.35 * 24/24 = 203/24 - 128.4/24 = (203 - 128.4)/24 = 74.6/24

Therefore, 8 11/24 - 5.35 is equal to 74.6/24.

4. 6.625 - 3 6/17:

Similarly, we need to convert the mixed number into an improper fraction.

3 6/17 can be converted as follows: 3 * 17/17 + 6/17 = 51/17 + 6/17 = 57/17

Now we can subtract:

6.625 - 57/17 = 6.625 * 17/17 - 57/17 = 112.375/17 - 57/17 = (112.375 - 57)/17 = 55.375/17

Therefore, 6.625 - 3 6/17 is equal to 55.375/17.