Question

2 1/6+ 5 4/154 5/18- 0,7 6 1/3+ 2/15-4 7/9​

Answer 1

Ответ:

1 7 13/30

2 161/45

3 76/45

Пошаговое объяснение:

Answer 2

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

Step 1: Convert mixed numbers to improper fractions (if needed):

• $2 \frac{1}{6} = \frac{13}{6}$
• $5 \frac{4}{154} = \frac{772}{154} = \frac{386}{77}$
• $6 \frac{1}{3} = \frac{19}{3}$
• $4 \frac{7}{9} = \frac{43}{9}$

Step 2: Perform addition and subtraction operations:

• $\frac{13}{6} + \frac{386}{77} - 0 + \frac{19}{3} - \frac{2}{15} - \frac{43}{9}$

Step 3: Find a common denominator: The common denominator for these fractions is $6 \times 77 \times 3 \times 15 \times 9 = 249210$.

Step 4: Adjust the fractions to have the common denominator:

• $\frac{13 \times 77 \times 3 \times 15 \times 9}{6 \times 77 \times 3 \times 15 \times 9} + \frac{386 \times 6 \times 3 \times 15 \times 9}{77 \times 6 \times 3 \times 15 \times 9} - 0 + \frac{19 \times 77 \times 77 \times 15 \times 9}{3 \times 77 \times 77 \times 15 \times 9} - \frac{2 \times 77 \times 6 \times 77 \times 9}{15 \times 77 \times 6 \times 77 \times 9} - \frac{43 \times 6 \times 77 \times 3 \times 15}{9 \times 6 \times 77 \times 3 \times 15}$

Step 5: Perform the calculations:

• $\frac{222705}{249210} + \frac{834570}{249210} + 0 + \frac{99465}{249210} - \frac{16}{249210} - \frac{148950}{249210}$

Step 6: Combine the fractions:

• $\frac{222705 + 834570 + 0 + 99465 - 16 - 148950}{249210}$

Step 7: Calculate the numerator:

• $\frac{1213774}{249210}$

Step 8: Simplify the fraction, if possible:

• $\frac{607062}{124605}$

So, the result of the given expression is $\frac{607062}{124605}$.