Question

1) 2 2/3+6 5/8 2) 1 3/4+2 1/6 3) 7 5/9+3 1/6 4) 2 3/14+1 5/6​

Answer 1

Ответ:

1) 9 7/24 ,2) 5 5/12 ,3) 11 2/18(1/9) 4)

Answer 2

To add mixed numbers, follow these steps:

1. Add the whole numbers.
2. Add the fractions.

Let's calculate the sums for the given expressions:

1. $2 \frac{2}{3} + 6 \frac{5}{8}$
   • Whole numbers: $2 + 6 = 8$
   • Fractions: $\frac{2}{3} + \frac{5}{8}$

To add the fractions, you need to find a common denominator, which in this case is 24 (the least common multiple of 3 and 8). Then, you can convert both fractions to have the same denominator:

$\frac{2}{3} \times \frac{8}{8} = \frac{16}{24}$ $\frac{5}{8} \times \frac{3}{3} = \frac{15}{24}$

Now, you can add the fractions:

$\frac{16}{24} + \frac{15}{24} = \frac{31}{24}$

So, the result is $8 \frac{31}{24}$.

2. $1 \frac{3}{4} + 2 \frac{1}{6}$
   • Whole numbers: $1 + 2 = 3$
   • Fractions: $\frac{3}{4} + \frac{1}{6}$

To add the fractions, you need to find a common denominator, which in this case is 12 (the least common multiple of 4 and 6). Then, you can convert both fractions to have the same denominator:

$\frac{3}{4} \times \frac{3}{3} = \frac{9}{12}$ $\frac{1}{6} \times \frac{2}{2} = \frac{2}{12}$

Now, you can add the fractions:

$\frac{9}{12} + \frac{2}{12} = \frac{11}{12}$

So, the result is $3 \frac{11}{12}$.

3. $7 \frac{5}{9} + 3 \frac{1}{6}$
   • Whole numbers: $7 + 3 = 10$
   • Fractions: $\frac{5}{9} + \frac{1}{6}$

To add the fractions, you need to find a common denominator, which in this case is 18 (the least common multiple of 9 and 6). Then, you can convert both fractions to have the same denominator:

$\frac{5}{9} \times \frac{2}{2} = \frac{10}{18}$ $\frac{1}{6} \times \frac{3}{3} = \frac{3}{18}$

Now, you can add the fractions:

$\frac{10}{18} + \frac{3}{18} = \frac{13}{18}$

So, the result is $10 \frac{13}{18}$.

4. $2 \frac{3}{14} + 1 \frac{5}{6}$
   • Whole numbers: $2 + 1 = 3$
   • Fractions: $\frac{3}{14} + \frac{5}{6}$