What is the formula for dividing fractions?

The formula for dividing fractions is: $$\frac{a}{b} \times \frac{d}{c}$$ , where $$\frac{a}{b}$$ is the first fraction and $$\frac{c}{d}$$ is the second fraction.

What is the result of $$\frac{6}{7} \times \frac{7}{10}$$ ?

The result is $$\frac{6 \times 7}{7 \times 10} = \frac{6}{10} = \frac{3}{5}$$ after simplification.

How do you solve for width using area and length?

To find the width, divide the area by the length. If the area is $$\frac{7}{8}$$ square miles and the length is $$\frac{2}{5}$$ miles, the width is $$\frac{7/8}{2/5} = \frac{7}{8} \times \frac{5}{2} = \frac{35}{16}$$ miles.

What is the relationship between division and multiplication of fractions?

Division of fractions is the same as multiplying by the reciprocal. For example, $$\frac{3}{4} \text{ divided by } \frac{2}{5} = \frac{3}{4} \times \frac{5}{2}$$ .

How do you express a fraction as a decimal?

To express a fraction as a decimal, divide the numerator by the denominator. For example, $$\frac{1}{4} = 0.25$$ .

What is a proper fraction?

A proper fraction is a fraction where the numerator is less than the denominator, such as $$\frac{3}{4}$$ .

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 do you add fractions with different denominators?

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

Division of Fractions Flashcards

Student preview

15 questions

Show all answers

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). For example, in the fraction 1/2, 1 is the numerator and 2 is the denominator.

2.

FLASHCARD QUESTION

Front

What does it mean to divide fractions?

Back

3.

FLASHCARD QUESTION

Front

How do you find the reciprocal of 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 fraction.

6.

FLASHCARD QUESTION

Front

What is the area of a rectangle?

Back

7.

FLASHCARD QUESTION

Front

How do you simplify a fraction?

Back

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