Multiplying Fractions in Word Problems

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (a/b) * (c/d) = (a*c)/(b*d).

Front

What does it mean to find a fraction of a quantity?

Back

Finding a fraction of a quantity means to take that fraction of the total amount. For example, 1/2 of 8 is 4.

Front

What is the first step in solving a word problem involving fractions?

Back

Read the problem carefully to understand what is being asked and identify the fractions involved.

Front

If 2/3 of a class has dogs and 1/4 of those have cats, how do you find the fraction of the whole class that has both?

Back

Multiply the fractions: (2/3) * (1/4) = 2/12 = 1/6.

Front

What is the mixed number 1 3/4 as an improper fraction?

Back

1 3/4 as an improper fraction is 7/4 (1*4 + 3 = 7).

Front

How do you triple a recipe that calls for a fraction?

Back

Multiply the fraction by 3. For example, if a recipe calls for 1 3/4 cups, then 3 * (7/4) = 21/4 = 5 1/4 cups.

Front

What is the formula to find distance when speed and time are given?

Back

Distance = Speed × Time. For example, if speed is 60 mph and time is 3.5 hours, then distance = 60 * 3.5 = 210 miles.

Front

How do you find a fraction of a group?

Back

Multiply the total number by the fraction. For example, if there are 24 students and 5/8 earned an A, then 24 * (5/8) = 15 students.

Front

What does it mean to convert a mixed number to an improper fraction?

Back

To convert, multiply the whole number by the denominator and add the numerator. Place this result over the original denominator.