Common Core: 4th Grade Math : Build fractions from unit fractions

Study concepts, example questions & explanations for Common Core: 4th Grade Math

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Example Questions

Example Question #31 : Subtracting Fractions In Word Problems

This year, Emily grew \(\displaystyle \frac{1}{6}\) of an inch, and her brother, Dan, grew \(\displaystyle \frac{4}{6}\) of an inch. How much more did Dan grow than Emily?

Possible Answers:

\(\displaystyle \frac{5}{6}\)

\(\displaystyle \frac{3}{6}\)

\(\displaystyle \frac{4}{6}\)

\(\displaystyle \frac{2}{6}\)

\(\displaystyle \frac{1}{6}\)

Correct answer:

\(\displaystyle \frac{3}{6}\)

Explanation:

The phrase, "how much more" tells as that we want to find the difference in how much they've grown. 

\(\displaystyle \frac{4}{6}-\frac{1}{6}=\frac{3}{6}\)

6

Example Question #1229 : Common Core Math: Grade 4

This year, Cassie grew \(\displaystyle \frac{3}{9}\) of an inch, and her brother, Charlie, grew \(\displaystyle \frac{5}{9}\) of an inch. How much more did Charlie grow than Cassie?

 

Possible Answers:

\(\displaystyle \frac{2}{9}\)

\(\displaystyle \frac{6}{9}\)

\(\displaystyle \frac{4}{9}\)

\(\displaystyle \frac{5}{9}\)

\(\displaystyle \frac{1}{9}\)

Correct answer:

\(\displaystyle \frac{2}{9}\)

Explanation:

The phrase, "how much more" tells as that we want to find the difference in how much they've grown. 

\(\displaystyle \frac{5}{9}-\frac{3}{9}=\frac{2}{9}\)

9

Example Question #602 : Number & Operations: €”Fractions

A baker used \(\displaystyle \frac{1}{7}\) of a package of sprinkles and \(\displaystyle \frac{6}{7}\) of a package of icing when decorating a cake. How much more icing than sprinkles did the baker use?

 

Possible Answers:

\(\displaystyle \frac{5}{7}\)

\(\displaystyle \frac{2}{7}\)

\(\displaystyle \frac{3}{7}\)

\(\displaystyle \frac{4}{7}\)

\(\displaystyle \frac{6}{}7\)

Correct answer:

\(\displaystyle \frac{5}{7}\)

Explanation:

The phrase, "how much more" tells as that we want to find the difference, so we subtract. 

\(\displaystyle \frac{6}{7}-\frac{1}{7}=\frac{5}{7}\)

5 7

Example Question #1231 : Common Core Math: Grade 4

A baker used \(\displaystyle \frac{3}{7}\) of a package of sprinkles and \(\displaystyle \frac{6}{7}\) of a package of icing when decorating a cake. How much more icing than sprinkles did the baker use?

Possible Answers:

\(\displaystyle \frac{3}{7}\)

\(\displaystyle \frac{1}{7}\)

\(\displaystyle \frac{2}{7}\)

\(\displaystyle \frac{4}{7}\)

\(\displaystyle \frac{5}{7}\)

Correct answer:

\(\displaystyle \frac{3}{7}\)

Explanation:

The phrase, "how much more" tells as that we want to find the difference, so we subtract. 

\(\displaystyle \frac{6}{7}-\frac{3}{7}=\frac{3}{7}\)

3 7

Example Question #1232 : Common Core Math: Grade 4

A baker used \(\displaystyle \frac{3}{7}\) of a package of sprinkles and \(\displaystyle \frac{5}{7}\) of a package of icing when decorating a cake. How much more icing than sprinkles did the baker use?

Possible Answers:

\(\displaystyle \frac{1}{7}\)

\(\displaystyle \frac{5}{7}\)

\(\displaystyle \frac{3}{7}\)

\(\displaystyle \frac{2}{7}\)

\(\displaystyle \frac{4}{7}\)

Correct answer:

\(\displaystyle \frac{2}{7}\)

Explanation:

The phrase, "how much more" tells as that we want to find the difference, so we subtract. 

\(\displaystyle \frac{5}{7}-\frac{3}{7}=\frac{2}{7}\)

2 7

Example Question #1233 : Common Core Math: Grade 4

A baker used \(\displaystyle \frac{2}{7}\) of a package of sprinkles and \(\displaystyle \frac{3}{7}\) of a package of icing when decorating a cake. How much more icing than sprinkles did the baker use?

Possible Answers:

\(\displaystyle \frac{5}{7}\)

\(\displaystyle \frac{4}{7}\)

\(\displaystyle \frac{1}{}7\)

\(\displaystyle \frac{2}{7}\)

\(\displaystyle \frac{3}{7}\)

Correct answer:

\(\displaystyle \frac{1}{}7\)

Explanation:

The phrase, "how much more" tells as that we want to find the difference, so we subtract. 

\(\displaystyle \frac{3}{7}-\frac{2}{7}=\frac{1}{7}\)

1 7

Example Question #71 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.4.Nf.B.3d

A baker used \(\displaystyle \frac{1}{3}\) of a package of sprinkles and \(\displaystyle \frac{2}{3}\) of a package of icing when decorating a cake. How much more icing than sprinkles did the baker use?

Possible Answers:

\(\displaystyle \frac{1}{3}\)

\(\displaystyle \frac{4}{3}\)

\(\displaystyle \frac{5}{3}\)

\(\displaystyle \frac{3}{3}\)

\(\displaystyle \frac{2}{3}\)

Correct answer:

\(\displaystyle \frac{1}{3}\)

Explanation:

The phrase, "how much more" tells as that we want to find the difference, so we subtract. 

\(\displaystyle \frac{2}{3}-\frac{1}{3}=\frac{1}{3}\)

1 3

Example Question #301 : Build Fractions From Unit Fractions

Select the fraction model that shows the sum of \(\displaystyle \frac{1}{3}+\frac{1}{3}\)

Possible Answers:

2 6

3 6


2 3

3 4

2 4

Correct answer:


2 3

Explanation:

\(\displaystyle \frac{1}{3}+\frac{1}{3}=\frac{2}{3}\)

The fraction model is broken up into three pieces and two of the pieces are shaded in. The numerator of the fraction tells us how many pieces should be shaded in, and the denominator tells us how many pieces the whole should be split up into. 

Example Question #302 : Build Fractions From Unit Fractions

Select the fraction model that shows the sum of \(\displaystyle \frac{1}{4}+\frac{1}{4}\)

 

Possible Answers:

3 6


2 3

3 4


2 4

2 6

Correct answer:


2 4

Explanation:

\(\displaystyle \frac{1}{4}+\frac{1}{4}=\frac{2}{4}\)

The fraction model is broken up into four pieces and two of the pieces are shaded in. The numerator of the fraction tells us how many pieces should be shaded in, and the denominator tells us how many pieces the whole should be split up into. 

Example Question #3 : Understand Addition And Subtraction Of Fractions: Ccss.Math.Content.4.Nf.B.3a

Select the fraction model that shows the sum of \(\displaystyle \frac{1}{4}+\frac{2}{4}\)

Possible Answers:

3 4

2 4

2 6

3 6

2 3

Correct answer:

3 4

Explanation:

\(\displaystyle \frac{1}{4}+\frac{2}{4}=\frac{3}{4}\)

The fraction model is broken up into four pieces and three of the pieces are shaded in. The numerator of the fraction tells us how many pieces should be shaded in, and the denominator tells us how many pieces the whole should be split up into. 

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