A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). For example, in the fraction $$\frac{1}{2}$$ , 1 is the part and 2 is the whole.

How do you find a common denominator for $$\frac{1}{3}$$ and $$\frac{1}{5}$$ ?

To find a common denominator for $$\frac{1}{3}$$ and $$\frac{1}{5}$$ , you can multiply the denominators together. The common denominator is 15.

Convert $$\frac{1}{3}$$ to a fraction with a denominator of 15.

To convert $$\frac{1}{3}$$ to a fraction with a denominator of 15, multiply the numerator and denominator by 5: $$\frac{1 \times 5}{3 \times 5} = \frac{5}{15}$$ .

Convert $$\frac{1}{5}$$ to a fraction with a denominator of 15.

To convert $$\frac{1}{5}$$ to a fraction with a denominator of 15, multiply the numerator and denominator by 3: $$\frac{1 \times 3}{5 \times 3} = \frac{3}{15}$$ .

What is $$\frac{5}{15} + \frac{3}{15}$$ ?

$$\frac{5}{15} + \frac{3}{15} = \frac{8}{15}$$ .

What is the formula for adding fractions?

The formula for adding fractions is: $$\frac{a}{b} + \frac{c}{d} = \frac{a \times d + b \times c}{b \times d}$$ , where $$a$$ and $$c$$ are the numerators, and $$b$$ and $$d$$ are the denominators.

What is the result of $$\frac{2}{3} + \frac{1}{5}$$ ?

To add $$\frac{2}{3} + \frac{1}{5}$$ , first find a common denominator (15): $$\frac{2 \times 5}{3 \times 5} + \frac{1 \times 3}{5 \times 3} = \frac{10}{15} + \frac{3}{15} = \frac{13}{15}$$ .

What is an equivalent fraction?

An equivalent fraction is a fraction that represents the same value as another fraction, even though the numerator and denominator are different. For example, $$\frac{1}{2}$$ and $$\frac{2}{4}$$ are equivalent.

How do you simplify a fraction?

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD). For example, to simplify $$\frac{8}{12}$$ , divide both by 4 to get $$\frac{2}{3}$$ .

What is the importance of finding a common denominator?

Finding a common denominator is important because it allows you to accurately add or subtract fractions. Without a common denominator, the fractions cannot be combined.

What is the result of $$\frac{1}{3} + \frac{4}{5}$$ ?

To add $$\frac{1}{3} + \frac{4}{5}$$ , first find a common denominator (15): $$\frac{1 \times 5}{3 \times 5} + \frac{4 \times 3}{5 \times 3} = \frac{5}{15} + \frac{12}{15} = \frac{17}{15}$$ .

What does it mean to have unlike denominators?

Unlike denominators mean that the denominators of the fractions are different. For example, $$\frac{1}{3}$$ and $$\frac{1}{4}$$ have unlike denominators.

Adding Fractions with Unlike Denominators Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a fraction?

Back

2.

FLASHCARD QUESTION

Front

What does it mean to add fractions with unlike denominators?

Back

Adding fractions with unlike denominators means you need to find a common denominator before you can combine the fractions. This involves converting each fraction to an equivalent fraction with the same denominator.

3.

FLASHCARD QUESTION

Front

What is a common denominator?

Back

A common denominator is a number that is a multiple of the denominators of two or more fractions. It allows you to add or subtract the fractions easily.

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

The first step is to find a common denominator, which is 15 in this case.

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