How can you simplify the fraction $$\frac{8}{12}$$ ?

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

What is a mixed number?

A mixed number is a whole number combined with a fraction. For example, 1 1/2 is a mixed number, where 1 is the whole number and 1/2 is the fraction.

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 over the original denominator is the fraction. For example, $$\frac{9}{4} = 2 \frac{1}{4}$$ .

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

To find the product, multiply the numerators and the denominators: $$\frac{3 \times 2}{5 \times 3} = \frac{6}{15}$$ . This can be simplified to $$\frac{2}{5}$$ .

If a recipe calls for $$\frac{3}{4}$$ cup of sugar and you want to make half the recipe, how much sugar do you need?

To find half of $$\frac{3}{4}$$ , multiply by $$\frac{1}{2}$$ : $$\frac{3}{4} \times \frac{1}{2} = \frac{3 \times 1}{4 \times 2} = \frac{3}{8}$$ . You need $$\frac{3}{8}$$ cup of sugar.

What is the total amount of potato salad eaten by 9 family members if each eats $$\frac{2}{7}$$ pound?

To find the total, multiply the number of family members by the amount each eats: $$9 \times \frac{2}{7} = \frac{9 \times 2}{7} = \frac{18}{7}$$ pounds.

What is the equivalent fraction of $$\frac{1}{2}$$ with a denominator of 8?

To find an equivalent fraction, multiply both the numerator and denominator by the same number. For $$\frac{1}{2}$$ , multiply by 4: $$\frac{1 \times 4}{2 \times 4} = \frac{4}{8}$$ .

If you have 3/4 of a pizza and eat 1/3 of it, how much pizza do you have left?

To find out how much pizza you have left, first calculate how much you eat: $$\frac{3}{4} \times \frac{1}{3} = \frac{3 \times 1}{4 \times 3} = \frac{3}{12} = \frac{1}{4}$$ . Then subtract from the original amount: $$\frac{3}{4} - \frac{1}{4} = \frac{2}{4} = \frac{1}{2}$$ . You have $$\frac{1}{2}$$ of the pizza left.

Multiplying Fractions Flashcards

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14 questions

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1.

FLASHCARD QUESTION

Front

What is a fraction?

Back

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 1/2, 1 is the numerator and 2 is the denominator.

2.

FLASHCARD QUESTION

Front

How do you multiply fractions?

Back

3.

FLASHCARD QUESTION

Front

What does the numerator in a fraction represent?

Back

The numerator represents the number of parts you have. For example, in the fraction 3/4, the numerator 3 indicates that you have 3 parts.

4.

FLASHCARD QUESTION

Front

What does the denominator in a fraction represent?

Back

The denominator represents the total number of equal parts the whole is divided into. For example, in the fraction 3/4, the denominator 4 indicates that the whole is divided into 4 equal parts.

5.

FLASHCARD QUESTION

Front

If you have 1/2 of a pizza and eat 1/4 of it, how much of the whole pizza do you eat?

Back

6.

FLASHCARD QUESTION

Front

What is the result of multiplying a fraction by a whole number?

Back

7.

FLASHCARD QUESTION

Front

Back

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