Question

6 2/5-5 2/5-4 3/7+5 2/5+ 4 2/7-1/5​

Answer 1

Ответ:

14/15

Пошаговое объяснение:

1) 7/8 * 6. 2/5 = 7/8 * 32/5 = 7/1 * 4/5 = 28/5 = 5. 3/5

2) -5. 1/3 + 5. 3/5 =

-5. 5/15 + 5. 9/15 = 4/15

3) 4/15 : 4/5 = 4/15 * 5/4 =

5/15

4) 3/5 + 5/15 = 9/15 + 5/15 = 14/15

Answer 2

To perform the operations, first, we need to find a common denominator for the fractions. In this case, the common denominator is 35.

Now, let's compute each part of the expression:

1. $6 \frac{2}{5} - 5 \frac{2}{5}$: $6 \frac{2}{5} - 5 \frac{2}{5} = 6 - 5 = 1$

2. $4 \frac{3}{7} + 5 \frac{2}{5}$: $4 \frac{3}{7} + 5 \frac{2}{5} = 4 + 5 + \frac{3}{7} + \frac{2}{5} = 9 + \frac{15}{35} + \frac{14}{35} = 9 + \frac{15 + 14}{35} = 9 + \frac{29}{35}$

3. $4 \frac{2}{7} - \frac{1}{5}$: $4 \frac{2}{7} - \frac{1}{5} = 4 - \frac{1}{5} + \frac{2}{7} = 4 - \frac{7}{35} + \frac{10}{35} = 4 - \frac{7 + 10}{35} = 4 - \frac{17}{35}$

Now, let's put it all together:

1 + \left(9 + \frac{29}{35}\right) - \left(4 - \frac{17}{35}

Now, simplify the expression:

$1 + 9 + \frac{29}{35} - 4 + \frac{17}{35}$

Combine the whole numbers:

$1 + 9 - 4 + \frac{29}{35} + \frac{17}{35}$

Combine the fractions:

$1 + 9 - 4 + \frac{29 + 17}{35}$

Simplify the fraction:

$1 + 9 - 4 + \frac{46}{35}$

Now, perform the addition and subtraction:

$1 + 9 - 4 + \frac{46}{35} = 10 - 4 + \frac{46}{35} = 6 + \frac{46}{35}$

So, the final result is $6 \frac{46}{35}$.