Question

1) 3/7+14/19+4/7+5/192)7/16+11/42+9/16+17/423)5/18+11/81+7/18+5/81

Answer 1

1) 3/7 + 4/7 + 14/19 + 5/19 = 7/7 + 19/19 = 1 + 1 = 2

2) 7/16 + 9/16 + 11/42 + 17/42 = 16/16 + 28/42 = 1 + 2/3 = 1 2/3

3) 5/18 + 7/18 + 11/81 + 5/81 = 12/18 + 16/81 = 2/3 + 16/81 = 54/81 + 16/81 = 70/81

Answer 2

1)2

2)1 2/3

3)70/81

вот правильные ответы

Answer 3

To simplify the given expressions, we need to find a common denominator for each set of fractions. Let's go through each expression one by one:

1. 3/7 + 14/19 + 4/7 + 5/19

To find a common denominator, we can multiply the denominators together: 7 * 19 = 133.

Now we'll rewrite each fraction with the common denominator:

(3/7) * (19/19) + (14/19) * (7/7) + (4/7) * (19/19) + (5/19) * (7/7) = 57/133 + 98/133 + 76/133 + 35/133

Now we can add the numerators together:

(57 + 98 + 76 + 35)/133 = 266/133 = 2/1 = 2

So the simplified result is 2.

2. 7/16 + 11/42 + 9/16 + 17/42

The common denominator in this case is 16 * 42 = 672.

Rewriting each fraction with the common denominator:

(7/16) * (42/42) + (11/42) * (16/16) + (9/16) * (42/42) + (17/42) * (16/16) = 294/672 + 176/672 + 378/672 + 272/672

Adding the numerators together:

(294 + 176 + 378 + 272)/672 = 1120/672 = 5/3

So the simplified result is 5/3.

3. 5/18 + 11/81 + 7/18 + 5/81

The common denominator here is 18 * 81 = 1458.

Rewriting each fraction with the common denominator:

(5/18) * (81/81) + (11/81) + (7/18) * (81/81) + (5/81) * (18/18) = 405/1458 + 11/1458 + 567/1458 + 90/1458

Adding the numerators together:

(405 + 11 + 567 + 90)/1458 = 1073/1458

So the simplified result is 1073/1458.