How To Solve Problems With Fractions

After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. Note: To write the fraction three-fourths, enter 3/4 into the form.

To write the mixed number four and two-thirds, enter 4, a space, and then 2/3 into the form.

Example 6: The Cocozzelli family drove their car for five and five-sixths days to reach their vacation home, and then drove for six and one-sixth days to return home. Analysis: To solve this problem, we will subtract two mixed numbers, with the fractional parts having like denominators.

Solution: Answer: The Cocozzelli family took one-half more days to drive home.

Today we are going to look at some examples of word problems with fractions.

Although they may seem more difficult, in reality, word problems involving fractions are just as easy as those involving whole numbers.How many hours did he take to complete his homework altogether?Analysis: To solve this problem, we will add three fractions with unlike denominators. Solution: Answer: It took Nick three and one-fourth hours to complete his homework altogether.Solution: Answer: Example 5: At a pizza party, Diego and his friends ate three and one-fourth cheese pizzas and two and three-fourths pepperoni pizzas. Analysis: To solve this problem, we will add two mixed numbers, with the fractional parts having like denominators.Solution: Answer: Diego and his friends ate six pizzas in all.Solution: Answer: Stefanie swam one-third of a lap farther in the morning.Example 3: It took Nick five-thirds of an hour to complete his math homework on Monday, three-fourths of an hour on Tuesday, and five-sixths of an hour on Wednesday.Example 4: Dina added five-sixths of a bag of soil to her garden.Her neighbor Natasha added eleven-eighths bags of soil to her garden. Analysis: To solve this problem, we will subtract two fractions with unlike denominators.Essentially, we’re dividing the fractions into smaller sized pieces until they’re the same size. Truthfully, any common denominator will do, but people prefer to find the smallest one.In this case the smallest number both 7 and 3 go into without a remainder is 21.

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