Question

1. add.

$2\frac{9}{10}+\frac{-1}{2}=\square$

1. subtract.

$\frac{-3}{4}-6=\square$

1. subtract.

$-4.4--6.75=\square$

1. subtract.

$-3.75--4.5=\square$

1. subtract.

$-8.8 - 3.5=\square$

1. subtract.

$-1.9 - 3.2=\square$

Explanation:

Step1: Convert mixed number to improper fraction

$2\frac{9}{10} = \frac{29}{10}$

Step2: Convert integer to fraction with same denominator

$\frac{-1}{1} = \frac{-10}{10}$

Step3: Add the two fractions

$\frac{29}{10} + \frac{-10}{10} = \frac{19}{10} = 1\frac{9}{10}$

Step4: Convert integer to fraction with same denominator

$6 = \frac{24}{4}$

Step5: Subtract the fractions

$\frac{-3}{4} - \frac{24}{4} = \frac{-27}{4} = -6\frac{3}{4}$

Step6: Rewrite subtraction of negative as addition

$-4.4 - (-6.75) = -4.4 + 6.75$

Step7: Calculate the sum

$-4.4 + 6.75 = 2.35$

Step8: Rewrite subtraction of negative as addition

$-3.75 - (-4.5) = -3.75 + 4.5$

Step9: Calculate the sum

$-3.75 + 4.5 = 0.75$

Step10: Subtract the two decimals

$-8.8 - 3.5 = -12.3$

Step11: Subtract the two decimals

$-1.9 - 3.2 = -5.1$

Answer:

1. $1\frac{9}{10}$ (or $\frac{19}{10}$, or 1.9)
2. $-6\frac{3}{4}$ (or $\frac{-27}{4}$, or -6.75)
3. $2.35$
4. $0.75$
5. $-12.3$
6. $-5.1$