3.2 Adding Rational Numbers

Vocabulary and example problem flashcards for adding rational numbers, including integers, decimals, and fractions.

Adding Fractions Rule

When adding fractions, we rewrite the fractions as equivalent fractions with common denominators and then add the numerators only! Always simplify the final answer.

Addition of $-3 + 4$

$$+1$$

Addition of $-1 + (-8)$

$$-9$$

Addition of $2 + (-5)$

$$-3$$

Addition of $12 + 15$

$$27$$

Addition of $-12 + 15$

$$+3$$

Addition of $-9 + 5$

$$-4$$

Addition of $-2 + (-10)$

$$-12$$

Addition of $-2 + 9$

$$+7$$

Addition of $(-3) + (-9)$

$$-12$$

Addition of $-3.2 + 4.5$

$$1.3$$

Addition of $-1.5 + (-7.3)$

$$-8.8$$

Addition of $2.2 + (-5.9)$

$$-3.7$$

Addition of $1.5 + (-1.5)$

$$0$$

Addition of $-10.5 + 8.2$

$$-2.3$$

Addition of $-9.1 + 5.2$

$$-3.9$$

Addition of $-2.2 + (-10.5)$

$$-12.7$$

Addition of $-2.1 + 9$

$$6.9$$

Addition of $(-3.3) + (-9.6)$

$$-12.9$$

Addition of $\frac{1}{5} + \frac{3}{5}$

$$\frac{4}{5}$$

Addition of $-\frac{1}{5} + \frac{5}{5}$

$$\frac{4}{5}$$

Addition of $-\frac{1}{5} + (-\frac{3}{5})$

$$-\frac{4}{5}$$

Addition of $-\frac{1}{6} + \frac{4}{12}$

$$\frac{1}{6}$$

Addition of $-\frac{2}{15} + (-\frac{3}{5})$

$$-\frac{11}{15}$$

Addition of $\frac{3}{4} + (-\frac{2}{3})$

$$-\frac{1}{12}$$

Addition of $-\frac{2}{3} + \frac{3}{5} + (-\frac{1}{15})$

$$-\frac{2}{15}$$

Addition of $-\frac{1}{2} + \frac{3}{4} + (-\frac{2}{3})$

$$-\frac{5}{12}$$

Addition of $(-\frac{2}{5}) + (-\frac{4}{7}) + (-\frac{12}{35})$

$$-\frac{46}{35} = -1\frac{11}{35}$$