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 $$\frac{3}{4}$$ , 3 is the numerator and 4 is the denominator.

Convert $$\frac{1}{2}$$ to a fraction with a denominator of 8.

$$\frac{1}{2} = \frac{4}{8}$$ .

What is $$\frac{4}{8} + \frac{3}{8}$$ ?

$$\frac{4}{8} + \frac{3}{8} = \frac{7}{8}$$ .

What is the sum of $$\frac{1}{3}$$ and $$\frac{2}{5}$$ ?

First, find the LCD of 3 and 5, which is 15. Convert the fractions: $$\frac{1}{3} = \frac{5}{15}$$ and $$\frac{2}{5} = \frac{6}{15}$$ . Then, add: $$\frac{5}{15} + \frac{6}{15} = \frac{11}{15}$$ .

What is the formula for adding fractions?

The formula for adding fractions is: $$\frac{a}{b} + \frac{c}{d} = \frac{a \cdot d + b \cdot c}{b \cdot d}$$ .

What is the importance of simplifying fractions?

Simplifying fractions makes them easier to understand and work with. It involves reducing the fraction to its simplest form.

How do you simplify $$\frac{10}{15}$$ ?

To simplify $$\frac{10}{15}$$ , divide both the numerator and denominator by their greatest common divisor (GCD), which is 5. So, $$\frac{10 \div 5}{15 \div 5} = \frac{2}{3}$$ .

What is a mixed number?

A mixed number is a whole number combined with a proper fraction. For example, $$2 \frac{1}{4}$$ is a mixed number.

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 numerator of the fraction.

Adding Fractions with Unlike Denominators Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a fraction?

Back

2.

FLASHCARD QUESTION

Front

What does it mean to have unlike denominators?

Back

3.

FLASHCARD QUESTION

Front

How do you add fractions with unlike denominators?

Back

To add fractions with unlike denominators, first find a common denominator, convert each fraction to an equivalent fraction with that denominator, and then add the numerators.

4.

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.

5.

FLASHCARD QUESTION

Front

What is the least common denominator (LCD)?

Back

The least common denominator (LCD) is the smallest common multiple of the denominators of two or more fractions.

6.

FLASHCARD QUESTION

Front

How do you find the least common denominator?

Back

To find the least common denominator, list the multiples of each denominator and find the smallest multiple that appears in both lists.

7.

FLASHCARD QUESTION

Front

Back

The first step is to find the least common denominator (LCD) of 2 and 8, which is 8.

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