Common Core: 4th Grade Math : Understand a Fraction a/b as a Multiple of 1/b: CCSS.Math.Content.4.NF.B.4a

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

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Example Questions

Example Question #131 : Number & Operations: €”Fractions

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

Possible Answers:

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

\(\displaystyle \frac{5}{3}=1\frac{2}{3}\)

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

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

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

Correct answer:

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

Explanation:

\(\displaystyle 3\times\frac{1}{3}\) means the same thing as adding \(\displaystyle \frac{1}{3}\) three times.

On our number line, we can make \(\displaystyle 3\) jumps of \(\displaystyle \frac{1}{3}\)

3 3 number line

Example Question #2 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

\(\displaystyle 4\times\frac{1}{3}=\) 

Possible Answers:

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

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

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

\(\displaystyle \frac{5}{3}=1\frac{2}{3}\)

\(\displaystyle \frac{6}{3}=2\)

Correct answer:

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

Explanation:

\(\displaystyle 4\times\frac{1}{3}\) means the same thing as adding \(\displaystyle \frac{1}{3}\) four times.

On our number line, we can make \(\displaystyle 4\) jumps of \(\displaystyle \frac{1}{3}\)

4 3 number line

Example Question #1 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

\(\displaystyle 7\times\frac{1}{3}=\) 

Possible Answers:

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

\(\displaystyle \frac{6}{3}=2\)

\(\displaystyle \frac{5}{3}=1\frac{2}{3}\)

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

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

Correct answer:

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

Explanation:

\(\displaystyle 7\times\frac{1}{3}\) means the same thing as adding \(\displaystyle \frac{1}{3}\) seven times.

On our number line, we can make \(\displaystyle 7\) jumps of \(\displaystyle \frac{1}{3}\)

7 3 number line

Example Question #3 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

\(\displaystyle 3\times\frac{1}{4}=\)

 

Possible Answers:

\(\displaystyle \frac{6}{4}=1\frac{2}{4}\)

\(\displaystyle \frac{2}{4}\)

\(\displaystyle \frac{1}{4}\)

\(\displaystyle \frac{5}{4}=1\frac{1}{4}\)

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

Correct answer:

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

Explanation:

\(\displaystyle 3\times\frac{1}{4}\) means the same thing as adding \(\displaystyle \frac{1}{4}\) three times.

On our number line, we can make \(\displaystyle 3\) jumps of \(\displaystyle \frac{1}{4}\)

3 4 number line

Example Question #3 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

\(\displaystyle 5\times\frac{1}{4}=\) 

Possible Answers:

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

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

\(\displaystyle \frac{1}{4}\)

\(\displaystyle \frac{2}{4}\)

\(\displaystyle \frac{5}{4}=1\frac{1}{4}\)

Correct answer:

\(\displaystyle \frac{5}{4}=1\frac{1}{4}\)

Explanation:

\(\displaystyle 5\times\frac{1}{4}\) means the same thing as adding \(\displaystyle \frac{1}{4}\) five times.

On our number line, we can make \(\displaystyle 5\) jumps of \(\displaystyle \frac{1}{4}\)

5 4 number line

Example Question #6 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

\(\displaystyle 8\times\frac{1}{4}=\) 

Possible Answers:

\(\displaystyle \frac{9}{4}=2\frac{1}{4}\)

\(\displaystyle \frac{1}{4}\)

\(\displaystyle \frac{7}{4}=1\frac{3}{4}\)

\(\displaystyle \frac{8}{4}=2\)

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

Correct answer:

\(\displaystyle \frac{8}{4}=2\)

Explanation:

\(\displaystyle 8\times\frac{1}{4}\) means the same thing as adding \(\displaystyle \frac{1}{4}\) eight times.

On our number line, we can make \(\displaystyle 8\) jumps of \(\displaystyle \frac{1}{4}\)

8 4 number line

Example Question #132 : Number & Operations: €”Fractions

\(\displaystyle 6\times\frac{1}{5}=\) 

 

Possible Answers:

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

\(\displaystyle \frac{7}{5}=1\frac{2}{5}\)

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

\(\displaystyle \frac{4}{5}\)

\(\displaystyle \frac{2}{5}\)

Correct answer:

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

Explanation:

\(\displaystyle 6\times\frac{1}{5}\) means the same thing as adding \(\displaystyle \frac{1}{5}\) six times.

On our number line, we can make \(\displaystyle 6\) jumps of \(\displaystyle \frac{1}{5}\)

6 5 number line

Example Question #4 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

\(\displaystyle 9\times\frac{1}{5}=\) 

Possible Answers:

\(\displaystyle \frac{9}{5}=1\frac{4}{5}\)

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

\(\displaystyle \frac{10}{5}=2\)

\(\displaystyle \frac{8}{5}=1\frac{3}{5}\)

\(\displaystyle \frac{4}{5}\)

Correct answer:

\(\displaystyle \frac{9}{5}=1\frac{4}{5}\)

Explanation:

\(\displaystyle 9\times\frac{1}{5}\) means the same thing as adding \(\displaystyle \frac{1}{5}\) nine times.

On our number line, we can make \(\displaystyle 9\) jumps of \(\displaystyle \frac{1}{5}\)

9 5 number line

Example Question #131 : Number & Operations: €”Fractions

\(\displaystyle 11\times\frac{1}{5}=\) 

Possible Answers:

\(\displaystyle \frac{4}{5}\)

\(\displaystyle \frac{11}{5}=2\frac{1}{5}\)

\(\displaystyle \frac{1}{5}\)

\(\displaystyle \frac{9}{5}=1\frac{4}{5}\)

\(\displaystyle \frac{10}{5}=2\)

Correct answer:

\(\displaystyle \frac{11}{5}=2\frac{1}{5}\)

Explanation:

\(\displaystyle 11\times\frac{1}{5}\) means the same thing as adding \(\displaystyle \frac{1}{5}\) eleven times.

On our number line, we can make \(\displaystyle 11\) jumps of \(\displaystyle \frac{1}{5}\)

11 5 number line

Example Question #3 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

\(\displaystyle 4\times\frac{1}{6}=\) 

 

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

\(\displaystyle 4\times\frac{1}{6}\) means the same thing as adding \(\displaystyle \frac{1}{6}\) four times.

On our number line, we can make \(\displaystyle 4\) jumps of \(\displaystyle \frac{1}{6}\)

4 6 number line

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