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.

If you have $$\frac{1}{3}$$ and $$\frac{1}{4}$$ , what is the least common denominator?

The least common denominator of $$\frac{1}{3}$$ and $$\frac{1}{4}$$ is 12.

How do you convert $$\frac{1}{3}$$ to have a denominator of 12?

To convert $$\frac{1}{3}$$ to have a denominator of 12, multiply both the numerator and denominator by 4: $$\frac{1 \times 4}{3 \times 4} = \frac{4}{12}$$ .

How do you convert $$\frac{1}{4}$$ to have a denominator of 12?

To convert $$\frac{1}{4}$$ to have a denominator of 12, multiply both the numerator and denominator by 3: $$\frac{1 \times 3}{4 \times 3} = \frac{3}{12}$$ .

What is the sum of $$\frac{4}{12}$$ and $$\frac{3}{12}$$ ?

The sum of $$\frac{4}{12}$$ and $$\frac{3}{12}$$ is $$\frac{4 + 3}{12} = \frac{7}{12}$$ .

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 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, $$\frac{1}{2}$$ is equivalent to $$\frac{2}{4}$$ .

How do you simplify a fraction?

To simplify a fraction, divide both the numerator and the denominator by their greatest common factor (GCF). For example, $$\frac{6}{8}$$ can be simplified to $$\frac{3}{4}$$ by dividing both by 2.

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.

If Rashid planted squash in $$\frac{1}{3}$$ of his garden and tomatoes in $$\frac{2}{5}$$ , what fraction of his garden is planted with squash or tomatoes?

To find the total, convert to a common denominator (15): $$\frac{1}{3} = \frac{5}{15}$$ and $$\frac{2}{5} = \frac{6}{15}$$ . Then add: $$\frac{5}{15} + \frac{6}{15} = \frac{11}{15}$$ .

If Nan bought $$\frac{1}{2}$$ pound of Swiss cheese and $$\frac{3}{8}$$ pound of cheddar cheese, how much cheese did she buy altogether?

Convert $$\frac{1}{2}$$ to $$\frac{4}{8}$$ . Then add: $$\frac{4}{8} + \frac{3}{8} = \frac{7}{8}$$ . Nan bought $$\frac{7}{8}$$ pound of cheese.

What is the final answer when adding $$\frac{1}{12}$$ and $$\frac{5}{8}$$ ?

Convert $$\frac{1}{12}$$ to $$\frac{2}{24}$$ and $$\frac{5}{8}$$ to $$\frac{15}{24}$$ . Then add: $$\frac{2}{24} + \frac{15}{24} = \frac{17}{24}$$ .

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 add them. This involves converting each fraction to an equivalent fraction with the same denominator.

3.

FLASHCARD QUESTION

Front

How do you find a common denominator for two fractions?

Back

To find a common denominator, identify the least common multiple (LCM) of the two denominators. This LCM will be the common denominator.

4.

FLASHCARD QUESTION

Front

What is the first step in adding fractions with unlike denominators?

Back

The first step is to find the least common denominator (LCD) of the fractions you want to add.

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

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