Question

76/7 - 513/56; б) 57/8 + 25/12; в) 5 - 5/7; г) 12 - 23/4; д)12 - 23/4 + (31/2 - 13/8).

Answer 1

1)76/7 -513/56
   608-513/56
   95/56
2)57/8 + 25/12
   171+50/24
    221/24
3)5 - 5/7
   35-5/7
   30/7
4)12 - 23/4
    48-23/4
    25/4
5)12 - 23/4 + (31/2 - 13/8)
    12-23/4+124-13/8
     12-23/4+111/8
      96-46+111/8
      161/8

Answer 2

Calculation of Expressions

a) To calculate the expression 76/7 - 513/56, we can follow these steps:

Step 1: Convert both fractions to have a common denominator. - The denominators are 7 and 56, so the common denominator is 7 * 56 = 392.

Step 2: Rewrite the fractions with the common denominator. - 76/7 becomes (76 * 56)/392 = 4256/392. - 513/56 becomes (513 * 7)/392 = 3591/392.

Step 3: Subtract the fractions. - (4256/392) - (3591/392) = (4256 - 3591)/392 = 665/392.

Therefore, the result of 76/7 - 513/56 is 665/392.

b) To calculate the expression 57/8 + 25/12, we can follow these steps:

Step 1: Convert both fractions to have a common denominator. - The denominators are 8 and 12, so the common denominator is 8 * 12 = 96.

Step 2: Rewrite the fractions with the common denominator. - 57/8 becomes (57 * 12)/96 = 684/96. - 25/12 remains the same.

Step 3: Add the fractions. - (684/96) + (25/12) = (684 + 25)/96 = 709/96.

Therefore, the result of 57/8 + 25/12 is 709/96.

c) To calculate the expression 5 - 5/7, we can follow these steps:

Step 1: Convert the whole number 5 to a fraction with a denominator of 7. - 5 can be written as 5/1.

Step 2: Convert the fractions to have a common denominator. - The denominators are 1 and 7, so the common denominator is 7.

Step 3: Rewrite the fractions with the common denominator. - 5/1 remains the same. - 5/7 remains the same.

Step 4: Subtract the fractions. - (5/1) - (5/7) = (35/7) - (5/7) = (35 - 5)/7 = 30/7.

Therefore, the result of 5 - 5/7 is 30/7.

d) To calculate the expression 12 - 23/4 + (31/2 - 13/8), we can follow these steps:

Step 1: Convert the whole number 12 to a fraction with a denominator of 1. - 12 can be written as 12/1.

Step 2: Convert the fractions to have a common denominator. - The denominators are 1, 4, 2, and 8, so the common denominator is 8.

Step 3: Rewrite the fractions with the common denominator. - 12/1 remains the same. - 23/4 becomes (23 * 2)/8 = 46/8. - 31/2 remains the same. - 13/8 remains the same.

Step 4: Add or subtract the fractions. - (12/1) - (46/8) + (31/2 - 13/8) = (96/8) - (46/8) + (124/8 - 13/8) = (96 - 46 + 124 - 13)/8 = 161/8.

Therefore, the result of 12 - 23/4 + (31/2 - 13/8) is 161/8.

Please note that the calculations provided above are based on the given expressions and may not reflect any specific real-world context.