Question

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

Answer 1

1)Сведем к общему знаменателю

40/42-9/42=31/42

2)Сведем к общему знаменателю

400/1430+507/1430=907/1430

3)Сведем к общему знаменателю

645/2100+574/2100=1219/2100

4)Сведем к общему знаменателю

365/400+148/400=513/400

Answer 2

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

1. Perform the operations inside parentheses (if any).
2. Evaluate the multiplications and divisions from left to right.
3. Perform the additions and subtractions from left to right.

Let's go through each expression step by step:

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, subtract: 40/42 - 9/42 = 31/42

2. 40/143 + 39/110:

To add fractions, find a common denominator, which in this case is 1430 (the least common multiple of 143 and 110). 40/143 = (40/143) * (10/10) = 400/1430 39/110 = (39/110) * (13/13) = 507/1430

Now, add: 400/1430 + 507/1430 = 907/1430

3. 43/140 + 41/150:

To add fractions, find a common denominator, which in this case is 2100 (the least common multiple of 140 and 150). 43/140 = (43/140) * (15/15) = 645/2100 41/150 = (41/150) * (14/14) = 574/2100

Now, add: 645/2100 + 574/2100 = 1219/2100

4. 73/80 + 37/100:

To add fractions, find a common denominator, which in this case is 400 (the least common multiple of 80 and 100). 73/80 = (73/80) * (5/5) = 365/400 37/100 = (37/100) * (4/4) = 148/400

Now, add: 365/400 + 148/400 = 513/400

So, the simplified results of the 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 = 513/400