Unit Fraction Word Problems

Front

What is a unit fraction?

Back

A unit fraction is a fraction where the numerator is 1 and the denominator is a positive integer, representing one part of a whole divided into equal parts.

Front

How do you find the total number of items when given a fraction of a whole?

Back

To find the total number of items, divide the number of items represented by the fraction by the fraction itself.

Front

If a recipe requires 1/4 of a cup of sugar, how would you calculate the amount needed for 3 servings?

Back

Multiply the fraction by the number of servings: (1/4) * 3 = 3/4 cup of sugar.

Front

What is the process to solve a word problem involving unit fractions?

Back

1. Identify the total quantity. 2. Determine the fraction of the total being used or needed. 3. Use multiplication or division to find the answer.

Front

How many 1/3 cup servings are in 2 cups?

Back

To find the number of servings, divide the total cups by the serving size: 2 ÷ (1/3) = 2 * 3 = 6 servings.

Front

What is the relationship between fractions and division?

Back

Fractions represent division; for example, 1/2 means 1 divided by 2.

Front

How do you convert a fraction to a decimal?

Back

Divide the numerator by the denominator. For example, 1/4 = 1 ÷ 4 = 0.25.

Front

If each cat gets 1/5 of a bag of food and there are 4 cats, how much food is used in total?

Back

Multiply the amount each cat gets by the number of cats: (1/5) * 4 = 4/5 of a bag.

Front

What is the formula to calculate the total time needed if a task is completed at a fractional rate?

Back

Total time = Total work / Rate of work. For example, if 1/7 of a picture is painted per hour, to paint 8 pictures: Total time = 8 / (1/7) = 56 hours.

Front

How do you determine the number of days needed to sell a certain quantity of items at a fractional rate?

Back

Divide the total quantity of items by the amount sold per day. For example, if there are 4 boxes and 1/5 is sold per day: Days = 4 / (1/5) = 20 days.