Question

1) 3 1\3:2\3*1\5 2)4\5*2 1\2:6 3) 3 1\5*5\8:2\7

Answer 1

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Answer 2

To solve the expression you provided, let's break it down step by step:

1) Evaluate the numerator of the first fraction: 3 + 1/3. To add these two numbers, we need to find a common denominator. The common denominator for 3 and 1/3 is 3. So, we have:

3 + 1/3 = 9/3 + 1/3 = 10/3

2) Evaluate the denominator of the first fraction: 2/3.

3) Evaluate the numerator of the second fraction: 1/5.

4) Evaluate the denominator of the second fraction: 2.

5) Evaluate the numerator of the third fraction: 4/5 * 2 = 8/5.

6) Evaluate the denominator of the third fraction: 6 + 3 = 9.

7) Evaluate the numerator of the fourth fraction: 3 + 1/5 = 16/5.

8) Evaluate the denominator of the fourth fraction: 5/8 : 2/7. To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction. So, we have:

5/8 : 2/7 = 5/8 * 7/2 = 35/16.

Now, let's simplify the expression:

10/3 : 2/3 * 1/5 + 8/5 : 9 + 16/5 : 35/16

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, we have:

10/3 * 3/2 * 5/1 + 8/5 * 16/5 * 16/35

Simplifying each term separately:

10/3 * 3/2 * 5/1 = 150/6 = 25

8/5 * 16/5 * 16/35 = 2048/875

Now, let's add the two results together:

25 + 2048/875

To add fractions, we need to find a common denominator. The common denominator for 25 and 2048/875 is 875. So, we have:

25 = 25/1

25/1 + 2048/875 = 25/1 + 2048/875 = (25 * 875 + 2048) / 875 = 55128/875

Therefore, the final result of the expression is 55128/875.

Please note that this is a detailed step-by-step solution for the expression you provided. If you have any further questions or need clarification, feel free to ask!