Question

(62 2/3+3 1/8)-(13-10 5/9)

Answer 1

1) 62 2/3 + 3 1/8 = 62 16/24 + 3 3/24 =65 19/24
2) 13 - 10 5/9 = 2 4/9
3) 65 19/24 - 2 4/9 =  62 57/72 - 2 32/72 = 63 25/72
Ответ: 63 целых 25/72

Answer 2

To solve the given expression, we'll first perform the arithmetic within the parentheses and then proceed with the subtraction. Let's start step by step:

Step 1: Simplify the expressions inside the parentheses: 62 2/3 + 3 1/8 = 62 + 2/3 + 3 + 1/8

Step 2: Convert the mixed numbers into improper fractions: 62 + 2/3 + 3 + 1/8 = 62 + 2/3 + 24/8 + 1/8

Step 3: Find a common denominator for the fractions: The common denominator for 3 and 8 is 24. So, we can rewrite the expression as follows:

62 + 16/24 + 24/24 + 1/24

Step 4: Add the whole numbers and fractions separately: 62 + 16/24 + 24/24 + 1/24 = 62 + (16 + 24 + 1)/24

Step 5: Simplify the fraction: 62 + (16 + 24 + 1)/24 = 62 + 41/24

Step 6: Convert the improper fraction back to a mixed number: 62 + 41/24 = 62 + 1 17/24

Now, let's simplify the second part of the expression:

13 - 10 5/9 = 13 - (10 + 5/9)

Step 7: Convert the mixed number into an improper fraction: 13 - (10 + 5/9) = 13 - (90/9 + 5/9)

Step 8: Find a common denominator for the fractions: The common denominator for 9 is 9 itself. So, we can rewrite the expression as follows:

13 - (90/9 + 5/9) = 13 - (95/9)

Step 9: Subtract the fractions: 13 - (95/9) = 13 - 95/9

Step 10: Find a common denominator for the subtraction: The common denominator for 9 is 9 itself. So, we can rewrite the expression as follows:

13 - 95/9 = (117/9) - (95/9)

Step 11: Subtract the fractions: (117/9) - (95/9) = 22/9

Now, we have the following expression:

(62 2/3 + 3 1/8) - (13 - 10 5/9) = 62 + 1 17/24 - 22/9

Step 12: Convert the mixed number into an improper fraction: 62 + 1 17/24 = 62 + (24 + 17)/24 = 62 + 41/24

Now, the expression becomes:

(62 + 41/24) - 22/9

Step 13: Find a common denominator for the subtraction: The common denominator for 24 and 9 is 72. So, we can rewrite the expression as follows:

(62 + 41/24) - 22/9 = (6272 + 413)/72 - (22*8)/72

Step 14: Simplify the fractions: (6272 + 413)/72 - (22*8)/72 = (4464 + 123)/72 - 176/72

Step 15: Subtract the fractions: (4464 + 123)/72 - 176/72 = 4587/72 - 176/72

Step 16: Finally, subtract the fractions to get the result: 4587/72 - 176/72 = 4411/72

So, the final answer to the expression is 4411/72.