Question

2--1/4 7-5/12 8-2 1/7 4-3 5/9

Answer 1

Ответ:

2-1/4=7/4

7-5/12=79/12

8-2 1/7=41/7

4- 3 5/9=4/9

Answer 2

To simplify the expression 2 - 1/4 + 7 - 5/12 + 8 - 2 1/7 + 4 - 3 5/9, we can perform the operations step by step:

Step 1: Simplify 2 - 1/4 To subtract fractions, we need a common denominator. The common denominator of 4 is 4 itself. So we have: 2 - 1/4 = 8/4 - 1/4 = 7/4

Step 2: Simplify 7 - 5/12 Again, we need a common denominator to subtract fractions. The common denominator of 12 is 12 itself. So we have: 7 - 5/12 = 84/12 - 5/12 = 79/12

Step 3: Simplify 8 - 2 1/7 To subtract a mixed number, we need to convert it into an improper fraction. The improper fraction equivalent of 2 1/7 is (2 * 7 + 1)/7 = 15/7. Now, we have: 8 - 2 1/7 = 8 - 15/7 To subtract fractions, we need a common denominator. The common denominator of 7 is 7 itself. So we have: 8 - 15/7 = 56/7 - 15/7 = 41/7

Step 4: Simplify 4 - 3 5/9 Similarly, we convert the mixed number into an improper fraction. The improper fraction equivalent of 3 5/9 is (3 * 9 + 5)/9 = 32/9. Now, we have: 4 - 3 5/9 = 4 - 32/9 To subtract fractions, we need a common denominator. The common denominator of 9 is 9 itself. So we have: 4 - 32/9 = 36/9 - 32/9 = 4/9

Now, let's add up all the simplified expressions:

7/4 + 79/12 + 41/7 + 4/9

To add fractions, we need a common denominator. The common denominator of 4, 12, 7, and 9 is 252. So we have:

(7/4) * (63/63) + (79/12) * (21/21) + (41/7) * (36/36) + (4/9) * (28/28)

Simplifying further:

(7 * 63 + 79 * 21 + 41 * 36 + 4 * 28) / 252

Calculating the numerator:

(441 + 1659 + 1476 + 112) / 252 = 3688 / 252

Now, we can simplify the fraction:

3688/252 = 92/6 = 46/3

Therefore, the simplified expression is 46/3.