Question

20/21 -3/14 40/143+39/110 43/140+41/150 73/80-37/100

Answer 1

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Answer 2

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Answer 3

To solve the given arithmetic expressions involving fractions, follow these steps:

1. Perform any operations within parentheses (if applicable).
2. Solve multiplication and division operations from left to right.
3. Solve addition and subtraction operations from left to right.

Let's go through each expression:

1. 20/21 - 3/14: To subtract fractions, find a common denominator, which in this case is 42. 20/21 = (20/21) * (2/2) = 40/42 3/14 = (3/14) * (3/3) = 9/42

Now, the expression becomes: (40/42) - (9/42) = (40 - 9) / 42 = 31/42

2. 40/143 + 39/110: To add fractions, find a common denominator, which in this case is 1430. 40/143 = (40/143) * (10/10) = 400/1430 39/110 = (39/110) * (13/13) = 507/1430

Now, the expression becomes: (400/1430) + (507/1430) = (400 + 507) / 1430 = 907/1430

3. 43/140 + 41/150: To add fractions, find a common denominator, which in this case is 2100. 43/140 = (43/140) * (15/15) = 645/2100 41/150 = (41/150) * (14/14) = 574/2100

Now, the expression becomes: (645/2100) + (574/2100) = (645 + 574) / 2100 = 1219/2100

4. 73/80 - 37/100: To subtract fractions, find a common denominator, which in this case is 400. 73/80 = (73/80) * (5/5) = 365/400 37/100 = (37/100) * (4/4) = 148/400

Now, the expression becomes: (365/400) - (148/400) = (365 - 148) / 400 = 217/400

So, the simplified results of the given expressions are:

1. 20/21 - 3/14 = 31/42
2. 40/143 + 39/110 = 907/1430
3. 43/140 + 41/150 = 1219/2100
4. 73/80 - 37/100 = 217/400