Question

А)5 - 2 1\13 б)8 1\7 - 3 1\9

Answer 1

5-2 1/13= 5- 27/13 = 38/13 = 2 12/13

8 1/7- 3 1/9 = 5 + 2/63 = 5 2/63(дробь с дробью,число с числом)

Answer 2

To perform the given calculations, let's first convert the mixed numbers into improper fractions, and then perform the operations.

1. Calculation for А) 5 - 2 1/13:

Step 1: Convert mixed numbers to improper fractions: 5 = 5/1 2 1/13 = (2 * 13 + 1) / 13 = 27/13

Step 2: Subtract the fractions: 5/1 - 27/13

To subtract fractions, we need a common denominator. The common denominator for 1 and 13 is 13. So, we rewrite 5 as 5/1 * 13/13:

(5/1 * 13/13) - 27/13 = 65/13 - 27/13

Step 3: Perform the subtraction: 65/13 - 27/13 = (65 - 27) / 13 = 38/13

So, А) 5 - 2 1/13 = 38/13.

2. Calculation for Б) 8 1/7 - 3 1/9:

Step 1: Convert mixed numbers to improper fractions: 8 1/7 = (8 * 7 + 1) / 7 = 57/7 3 1/9 = (3 * 9 + 1) / 9 = 28/9

Step 2: Subtract the fractions: 57/7 - 28/9

To subtract fractions, we need a common denominator. The common denominator for 7 and 9 is 63. So, we rewrite 57/7 as 57/7 * 9/9 and 28/9 as 28/9 * 7/7:

(57/7 * 9/9) - (28/9 * 7/7) = 513/63 - 196/63

Step 3: Perform the subtraction: 513/63 - 196/63 = (513 - 196) / 63 = 317/63

Step 4: Simplify the fraction: 317/63 can be simplified to 5 2/63.

So, Б) 8 1/7 - 3 1/9 = 5 2/63.