How do you find a common denominator for $$\frac{2}{5}$$ and $$\frac{4}{3}$$ ?

The least common denominator (LCD) of $$5$$ and $$3$$ is $$15$$ . Convert each fraction: $$\frac{2}{5} = \frac{6}{15}$$ and $$\frac{4}{3} = \frac{20}{15}$$ .

What is the process to add $$\frac{2}{10} + \frac{5}{10}$$ ?

Since the denominators are the same, add the numerators: $$\frac{2 + 5}{10} = \frac{7}{10}$$ .

What is an improper fraction?

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

How can you 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 over the original denominator. For example, $$\frac{9}{4} = 2 \frac{1}{4}$$ .

What is a mixed number?

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

How do you check if $$\frac{7}{10} + \frac{3}{2} = \frac{40}{20}$$ is correct?

Convert $$\frac{3}{2}$$ to a fraction with a denominator of $$10$$ : $$\frac{3}{2} = \frac{15}{10}$$ . Then add: $$\frac{7}{10} + \frac{15}{10} = \frac{22}{10}$$ , which simplifies to $$\frac{11}{5}$$ , not $$\frac{40}{20}$$ .

What is the result of $$\frac{2}{5} + \frac{4}{3}$$ ?

The result is $$\frac{26}{15}$$ after finding a common denominator and adding the fractions.

What is the importance of simplifying fractions?

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

How do you simplify $$\frac{44}{20}$$ ?

Divide both the numerator and denominator by their greatest common divisor (GCD), which is 4: $$\frac{44 \div 4}{20 \div 4} = \frac{11}{5}$$ .

What is the result of $$\frac{13}{10}$$ ?

$$\frac{13}{10}$$ is an improper fraction that can also be expressed as a mixed number: $$1 \frac{3}{10}$$ .

Why is it important to understand adding and subtracting fractions?

Understanding how to add and subtract fractions is essential for solving real-world problems involving parts of a whole, such as cooking, budgeting, and measuring.

Adding and Subtracting Fractions Flashcards

Student preview

16 questions

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1.

FLASHCARD QUESTION

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

2.

FLASHCARD QUESTION

Front

How do you add fractions with the same denominator?

Back

3.

FLASHCARD QUESTION

Front

How do you subtract fractions with the same denominator?

Back

4.

FLASHCARD QUESTION

Front

What is the first step to add fractions with different denominators?

Back

The first step is to find a common denominator, which is a multiple of both denominators.

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What do you do after finding a common denominator?

Back

After finding a common denominator, convert each fraction to an equivalent fraction with that denominator, then add or subtract the numerators.

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