Question

Помогите срочно! 1)5 7/12+ 4 9/16 2) 13 2/9-4 3/5​

Answer 1

Calculation of Mixed Numbers

To solve the given expressions, we'll perform the following calculations:

1) 5 7/12 + 4 9/16 2) 13 2/9 - 4 3/5

Let's solve these step by step.

1) 5 7/12 + 4 9/16

To add these mixed numbers, we'll first convert them into improper fractions and then perform the addition.

5 7/12 = 5 + 7/12 = 5 * 12/12 + 7/12 = 60/12 + 7/12 = 67/12

4 9/16 = 4 + 9/16 = 4 * 16/16 + 9/16 = 64/16 + 9/16 = 73/16

Now, we add the two improper fractions: 67/12 + 73/16

To add these fractions, we need to find a common denominator, which is 48. Then, we'll convert both fractions to have the common denominator and perform the addition.

67/12 = 67 * 4/12 * 4 = 268/48 73/16 = 73 * 3/16 * 3 = 219/48

Now, we can add the fractions: 268/48 + 219/48 = 487/48

So, 5 7/12 + 4 9/16 = 487/48.

2) 13 2/9 - 4 3/5

Similarly, we'll subtract these mixed numbers by converting them into improper fractions and then performing the subtraction.

13 2/9 = 13 + 2/9 = 13 * 9/9 + 2/9 = 117/9 + 2/9 = 119/9

4 3/5 = 4 + 3/5 = 4 * 5/5 + 3/5 = 20/5 + 3/5 = 23/5

Now, we subtract the two improper fractions: 119/9 - 23/5

To subtract these fractions, we need to find a common denominator, which is 45. Then, we'll convert both fractions to have the common denominator and perform the subtraction.

119/9 = 119 * 5/9 * 5 = 595/45 23/5 = 23 * 9/5 * 9 = 207/45

Now, we can subtract the fractions: 595/45 - 207/45 = 388/45

So, 13 2/9 - 4 3/5 = 388/45.

Therefore, the results are: 1) 5 7/12 + 4 9/16 = 487/48 2) 13 2/9 - 4 3/5 = 388/45