Multiplying and Dividing Fractions - 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

How do you divide fractions?

Back

To divide fractions, multiply by the reciprocal of the second fraction. For example, (a/b) ÷ (c/d) = (a/b) * (d/c).

Front

What does it mean to share equally?

Back

Sharing equally means dividing something into equal parts so that each person gets the same amount.

Front

If 4 friends share 1 pizza equally, how much pizza does each friend get?

Back

Each friend gets 1/4 of the pizza.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of 3/4 is 4/3.

Front

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

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that over the original denominator. For example, 2 1/3 = (2*3 + 1)/3 = 7/3.

Front

What is a word problem in math?

Back

A word problem is a mathematical problem that is presented in the form of a story or real-life scenario, requiring interpretation and problem-solving.

Front

If a recipe calls for 2/3 cup of sugar and you want to make 3 batches, how much sugar do you need?

Back

You need 2/3 * 3 = 2 cups of sugar.

Front

What is the total number of buckets Coach Peters can fill with 12 gallons of water if each bucket needs 1/3 gallon?

Back

Coach Peters can fill 12 ÷ (1/3) = 36 buckets.