By the reciprocal: $$\frac{3}{4} \div \frac{2}{5} = \frac{3}{4} \times \frac{5}{2} = \frac{15}{8}$$

Associative property of multiplication

$$(a \times b) \times c = a \times (b \times c)$$

Multiplicative inverse

$$a \times \frac{1}{a} = 1,\ a \neq 0$$

Word problem: Adding fractions

$$\frac{1}{3}$$ of a pizza + $$\frac{1}{6}$$ of a pizza = $$\frac{1}{2}$$ of a pizza

Word problem: Subtracting fractions

$$\frac{5}{8}$$ of a tank - $$\frac{1}{4}$$ of a tank = $$\frac{3}{8}$$ of a tank

Word problem: Dividing fractions

$$\frac{3}{4}$$ of a cake shared by $$\frac{1}{2}$$ = $$\frac{3}{2}$$ cakes

Order of operations with fractions

$$\rightarrow$$ Multiplication/Division $$\rightarrow$$ Addition/Subtraction

Example: Order of operations

$$\frac{1}{2} + \frac{1}{4} \times 2 = \frac{1}{2} + \frac{1}{2} = 1$$

Reciprocal of a fraction

Flip the numerator and denominator: $$\frac{a}{b} \rightarrow \frac{b}{a}$$ , $$a \neq 0,\ b \neq 0$$

Word problem: Subtracting fractions with like denominators

$$\frac{5}{7}$$ of a rope - $$\frac{2}{7}$$ of a rope = $$\frac{3}{7}$$ of a rope

Operations with Rational Numbers Flashcards

Student preview

23 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Rational number definition

Back

2.

FLASHCARD QUESTION

Front

Example of a rational number

Back

3.

FLASHCARD QUESTION

Front

Adding fractions with like denominators

Back

4.

FLASHCARD QUESTION

Front

Subtracting fractions with unlike denominators

Back

5.

FLASHCARD QUESTION

Front

Multiplying fractions

Back

6.

FLASHCARD QUESTION

Front

Dividing fractions

Back

7.

FLASHCARD QUESTION

Front

Commutative property of addition

Back

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