How do you add fractions with different denominators?

To add fractions with different denominators, first find a common denominator, convert the fractions, and then add the numerators. For example, to add $$\frac{1}{3}$$ and $$\frac{1}{4}$$ , use 12 as the common denominator: $$\frac{4}{12} + \frac{3}{12} = \frac{7}{12}$$ .

What is the process to subtract fractions?

To subtract fractions, ensure they have a common denominator, then subtract the numerators while keeping the denominator the same. For example, $$\frac{5}{6} - \frac{1}{3} = \frac{5}{6} - \frac{2}{6} = \frac{3}{6} = \frac{1}{2}$$ .

What does it mean to simplify $$\frac{20}{5}$$ ?

To simplify $$\frac{20}{5}$$ , divide both the numerator and the denominator by 5, resulting in $$4$$ .

What is the first step in simplifying $$\frac{2}{4}$$ ?

The first step in simplifying $$\frac{2}{4}$$ is to find the GCD of 2 and 4, which is 2. Then divide both the numerator and denominator by 2 to get $$\frac{1}{2}$$ .

How do you express $$\frac{9}{4}$$ as a mixed number?

To express $$\frac{9}{4}$$ as a mixed number, divide 9 by 4. The quotient is 2 and the remainder is 1, so it becomes $$2\frac{1}{4}$$ .

What is the simplified form of $$\frac{6}{8}$$ ?

The simplified form of $$\frac{6}{8}$$ is $$\frac{3}{4}$$ after dividing both the numerator and denominator by their GCD, which is 2.

What is the relationship between proper and improper fractions?

Proper fractions are always less than 1, while improper fractions are equal to or greater than 1. Improper fractions can be converted to mixed numbers.

How do you multiply fractions?

To multiply fractions, multiply the numerators together and the denominators together. For example, $$\frac{2}{3} \times \frac{3}{4} = \frac{2 \times 3}{3 \times 4} = \frac{6}{12} = \frac{1}{2}$$ .

Simplifying Proper and Improper Fractions Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a proper fraction?

Back

2.

FLASHCARD QUESTION

Front

What is an improper fraction?

Back

3.

FLASHCARD QUESTION

Front

How do you simplify a fraction?

Back

4.

FLASHCARD QUESTION

Front

What is a mixed number?

Back

5.

FLASHCARD QUESTION

Front

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

Back

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

6.

FLASHCARD QUESTION

Front

What is the greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) is the largest number that divides two or more numbers without leaving a remainder. For example, the GCD of 8 and 12 is 4.

7.

FLASHCARD QUESTION

Front

What is the least common multiple (LCM)?

Back

The least common multiple (LCM) is the smallest multiple that two or more numbers share. For example, the LCM of 3 and 4 is 12.

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