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 $$\frac{1}{5}$$ ?

The least common multiple (LCM) of 3 and 5 is 15. So, the common denominator for $$\frac{1}{3}$$ and $$\frac{1}{5}$$ 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 $$\frac{5}{15} + \frac{3}{15}$$ ?

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

What is the formula for adding fractions?

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

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

First, find a common denominator (15). Convert $$\frac{2}{3}$$ to $$\frac{10}{15}$$ and $$\frac{1}{5}$$ to $$\frac{3}{15}$$ . Then, add: $$\frac{10}{15} + \frac{3}{15} = \frac{13}{15}$$ .

What is an improper fraction?

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as $$\frac{5}{4}$$ .

What is a mixed number?

A mixed number is a whole number combined with a proper fraction, such as 1 $$\frac{1}{2}$$ .

How do you convert an improper fraction to a mixed number?

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator.

What is the importance of simplifying fractions?

Simplifying fractions makes them easier to understand and work with. It helps to express the fraction in its simplest form.

What does it mean to simplify $$\frac{8}{12}$$ ?

To simplify $$\frac{8}{12}$$ , divide both the numerator and denominator by their greatest common divisor (GCD), which is 4. So, $$\frac{8 \div 4}{12 \div 4} = \frac{2}{3}$$ .

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 ensures that the fractions are expressed in terms of the same whole.

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 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 convert both fractions to have a common denominator. In this case, convert them to have a denominator of 15.

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