Question

(509) 1). 1/5+9/1+3/1. 2). 1/2 +5/3-3/2. 3). 5/6+8/3-4/1 4) 5/9+6/1+4/3. 5)1/3+9/4+6/5. 6) 1/5+1/-3/10​

Answer 1

Пошаговое объяснение:

1) 1/5 + 9 + 3

1+45+15/5

Ответ: 61/5

2) 1 - 3 / 2 + 5/3

-2/2 + 5/3

- 1 + 5/3

-3 + 5/3

Ответ: 2/3

3) 5/6 + 8/3 - 4

6+16-24/6

-3/6

- 3/6

Ответ: -1/2

4) 5/9 + 6 + 4/3

5+54+12/9

71/9

5) 20 + 135 + 72 / 60

Ответ: 227/60

6)  2+10-3 / 10

Ответ: 9/10

Answer 2

Let's simplify each of the expressions step by step:

1. $\frac{1}{5} + \frac{9}{1} + \frac{3}{1}$

To add fractions, we need a common denominator. In this case, the common denominator is 5. So, we can rewrite the fractions as:

$\frac{1}{5} + \frac{9 \cdot 5}{1 \cdot 5} + \frac{3 \cdot 5}{1 \cdot 5}$

Now, we can add the fractions:

$\frac{1}{5} + \frac{45}{5} + \frac{15}{5}$

$\frac{1 + 45 + 15}{5}$

$\frac{61}{5}$

2. $\frac{1}{2} + \frac{5}{3} - \frac{3}{2}$

To add and subtract fractions, we also need a common denominator. In this case, the common denominator is 6. So, we can rewrite the fractions as:

$\frac{1 \cdot 3}{2 \cdot 3} + \frac{5 \cdot 2}{3 \cdot 2} - \frac{3 \cdot 3}{2 \cdot 3}$

Now, we can perform the operations:

$\frac{3}{6} + \frac{10}{6} - \frac{9}{6}$

Now, add and subtract the fractions:

$\frac{3 + 10 - 9}{6}$

$\frac{4}{6}$

Simplify the fraction:

$\frac{2}{3}$

3. $\frac{5}{6} + \frac{8}{3} - \frac{4}{1}$

We don't need to find a common denominator in this case because the third fraction already has a denominator of 1.

$\frac{5}{6} + \frac{8}{3} - 4$

Now, let's find a common denominator for the first two fractions, which is 6:

$\frac{5}{6} + \frac{8 \cdot 2}{3 \cdot 2} - 4$

Perform the operations:

$\frac{5}{6} + \frac{16}{6} - 4$

Now, add and subtract the fractions:

$\frac{5 + 16}{6} - 4$

$\frac{21}{6} - 4$

Now, subtract:

$\frac{21}{6} - \frac{24}{6}$

$\frac{-3}{6}$

Simplify the fraction:

$-\frac{1}{2}$

4. $\frac{5}{9} + \frac{6}{1} + \frac{4}{3}$

Let's find a common denominator, which is 9 in this case:

$\frac{5}{9} + \frac{6 \cdot 9}{1 \cdot 9} + \frac{4 \cdot 3}{3 \cdot 3}$

Perform the operations:

$\frac{5}{9} + \frac{54}{9} + \frac{12}{9}$