Question

1. add.

\\(\frac{1}{2} + 8\frac{4}{5} = \\)

1. add.

\\(-3 + -3.5 = \\)

1. subtract.

\\(3\frac{3}{10} - 2\frac{1}{2} = \\)

1. add.

\\(-1 + \frac{-3}{5} = \\)

1. subtract.

\\(8 - 7\frac{3}{10} = \\)

Explanation:

Problem 6

Step1: Convert to common denominator

$\frac{1}{2} = \frac{5}{10}$, $8\frac{4}{5} = 8\frac{8}{10}$

Step2: Add the fractions

$\frac{5}{10} + 8\frac{8}{10} = 8\frac{13}{10}$

Step3: Simplify the mixed number

$8\frac{13}{10} = 9\frac{3}{10}$

Problem 7

Step1: Add the negative numbers

$-3 + (-3.5) = -(3 + 3.5)$

Step2: Calculate the sum

$-(3 + 3.5) = -6.5$

Problem 8

Step1: Convert to common denominator

$2\frac{1}{2} = 2\frac{5}{10}$

Step2: Subtract the mixed numbers

$3\frac{3}{10} - 2\frac{5}{10} = 2\frac{13}{10} - 2\frac{5}{10}$

Step3: Compute the result

$2\frac{13}{10} - 2\frac{5}{10} = \frac{8}{10} = \frac{4}{5}$

Problem 9

Step1: Convert integer to fraction

$-1 = -\frac{5}{5}$

Step2: Add the fractions

$-\frac{5}{5} + \frac{-3}{5} = \frac{-5 - 3}{5}$

Step3: Calculate the result

$\frac{-5 - 3}{5} = -\frac{8}{5} = -1\frac{3}{5}$

Problem 10

Step1: Convert integer to mixed number

$8 = 7\frac{10}{10}$

Step2: Subtract the mixed numbers

$7\frac{10}{10} - 7\frac{3}{10}$

Step3: Compute the result

$7\frac{10}{10} - 7\frac{3}{10} = \frac{7}{10}$

Answer:

1. $9\frac{3}{10}$
2. $-6.5$
3. $\frac{4}{5}$
4. $-\frac{8}{5}$ or $-1\frac{3}{5}$
5. $\frac{7}{10}$