Question

7-6 4/5 8-3 2/13 4 4/7-1/14

Answer 1

Пошаговое объяснение:

7 - 6 4/5 = 6 5/5 - 6 4/5 = 1/5

8 - 3 2/13 = 7 13/13 - 3 2/13 = 4 11/13

4 4/7 - 1/14 = 4 8/14 - 1/14 = 4 7/14 = 4 1/2

Answer 2

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

1. Start with the first subtraction: 7 - 6. 7 - 6 = 1.

2. Next, we have a subtraction involving fractions: 4/5 - 2/13. To subtract fractions, we need a common denominator. In this case, the least common multiple (LCM) of 5 and 13 is 65.

   Rewrite both fractions with the common denominator: (4/5) * (13/13) = 52/65 (2/13) * (5/5) = 10/65

   Now, subtract the fractions: 52/65 - 10/65 = 42/65.

3. Moving on to the next subtraction: 8 - 3. 8 - 3 = 5.

4. We have another subtraction involving fractions: 4 4/7 - 1/14. First, convert the mixed number 4 4/7 to an improper fraction: 4 4/7 = (4 * 7 + 4)/7 = 32/7.

   Rewrite the subtraction as a fraction: 32/7 - 1/14.

   Again, find a common denominator for the fractions. The LCM of 7 and 14 is 14.

   Rewrite both fractions with the common denominator: (32/7) * (2/2) = 64/14 (1/14) * (1/1) = 1/14

   Now, subtract the fractions: 64/14 - 1/14 = 63/14.

5. Finally, subtract the results of the previous calculations: 1 - (42/65) - 5 - (63/14).

   To simplify this expression, we need to find a common denominator for all the fractions. The LCM of 65, 14, and 1 is 910.

   Rewrite all the fractions with the common denominator: (1/1) * (910/910) = 910/910 (42/65) * (14/14) = 588/910 (5/1) * (910/910) = 4550/910 (63/14) * (65/65) = 4095/910

   Now, subtract the fractions: 910/910 - 588/910 - 4550/910 - 4095/910.

   Combining the fractions: (910 - 588 - 4550 - 4095)/910 = (-4323)/910.

So the simplified result of the expression 7-6 4/5 8-3 2/13 4 4/7-1/14 is -4323/910.