Multiply & Divide Fractions Word Problems

Front

What is the result of multiplying two fractions?

Back

To multiply two fractions, multiply the numerators together and the denominators together. For example, \( \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} \).

Front

How do you divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. For example, \( \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} \).

Front

What does it mean to increase a value in the context of fractions?

Back

Increasing a value in the context of fractions typically means multiplying by a fraction greater than 1 or adding a positive fraction.

Front

If Lopez ate \( \frac{1}{5} \) of a cupcake and then \( \frac{1}{2} \), how do you find the total amount eaten?

Back

To find the total amount eaten, convert both fractions to a common denominator and add them: \( \frac{1}{5} + \frac{1}{2} = \frac{2}{10} + \frac{5}{10} = \frac{7}{10} \).

Front

How do you determine how many pieces can be cut from a length of wood?

Back

To determine how many pieces can be cut, divide the total length by the length of each piece. For example, for a 6-foot piece cut into \( \frac{3}{4} \)-foot pieces: \( 6 \div \frac{3}{4} = 6 \times \frac{4}{3} = 8 \) pieces.

Front

What is the formula for finding the total amount of an ingredient used in multiple items?

Back

The total amount of an ingredient used can be found by multiplying the amount used for one item by the number of items. For example, if \( \frac{4}{5} \) cups of flour are used for each cake and 3 cakes are made, the total is \( 3 \times \frac{4}{5} = \frac{12}{5} = 2\frac{2}{5} \) cups.

Front

What is a common denominator and why is it important?

Back

A common denominator is a shared multiple of the denominators of two or more fractions. It is important for adding or subtracting fractions.

Front

What is the difference between multiplying and dividing fractions?

Back

Multiplying fractions combines the values, while dividing fractions involves finding how many times one fraction fits into another.

Front

How can you represent an increase in a fraction mathematically?

Back

An increase in a fraction can be represented by multiplying it by a fraction greater than 1 or adding a positive fraction.

Front

What is the significance of the numerator and denominator in a fraction?

Back

The numerator represents the number of parts taken, while the denominator represents the total number of equal parts.