ISEE Lower Level Quantitative : How to make fractions equivalent

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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Example Questions

Example Question #6 : Extend Understanding Of Fraction Equivalence And Ordering

Fill in the blank with the missing fraction. 

\displaystyle \frac{3}{3}\times\frac{?}{?}=\frac{9}{9}

 

Possible Answers:

\displaystyle \frac{5}{5}

\displaystyle \frac{3}{3}

\displaystyle \frac{6}{6}

\displaystyle \frac{4}{4}

\displaystyle \frac{2}{2}

Correct answer:

\displaystyle \frac{3}{3}

Explanation:

In this problem we are making equivalent fractions. In order to make equivalent fractions you have to multiply the numerator and the denominator by the same number. 

\displaystyle 3\times3=9

\displaystyle 3\times3=9

Example Question #7 : Extend Understanding Of Fraction Equivalence And Ordering

Fill in the blank with the missing fraction. 

\displaystyle \frac{2}{10}\times\frac{?}{?}=\frac{12}{60}

 

Possible Answers:

\displaystyle \frac{3}{3}

\displaystyle \frac{5}{5}

\displaystyle \frac{2}{2}

\displaystyle \frac{6}{6}

\displaystyle \frac{4}{4}

Correct answer:

\displaystyle \frac{6}{6}

Explanation:

In this problem we are making equivalent fractions. In order to make equivalent fractions you have to multiply the numerator and the denominator by the same number. 

\displaystyle 2\times6=12

\displaystyle 10\times6=60

Example Question #11 : Number & Operations: €”Fractions

Fill in the blank with the missing fraction. 

\displaystyle \frac{1}{4}\times\frac{?}{?}=\frac{4}{16}

 

Possible Answers:

\displaystyle \frac{5}{5}

\displaystyle \frac{6}{6}

\displaystyle \frac{3}{3}

\displaystyle \frac{4}{4}

\displaystyle \frac{2}{2}

Correct answer:

\displaystyle \frac{4}{4}

Explanation:

In this problem we are making equivalent fractions. In order to make equivalent fractions you have to multiply the numerator and the denominator by the same number. 

\displaystyle 1\times4=4

\displaystyle 4\times4=16

Example Question #12 : Number & Operations: €”Fractions

Fill in the blank with the missing fraction. 

\displaystyle \frac{1}{10}\times\frac{?}{?}=\frac{3}{30}

 

Possible Answers:

\displaystyle \frac{5}{5}

\displaystyle \frac{3}{3}

\displaystyle \frac{2}{2}

\displaystyle \frac{4}{4}

\displaystyle \frac{1}{1}

Correct answer:

\displaystyle \frac{3}{3}

Explanation:

In this problem we are making equivalent fractions. In order to make equivalent fractions you have to multiply the numerator and the denominator by the same number. 

\displaystyle 1\times3=3

\displaystyle 10\times3=30

Example Question #11 : Explain Equivalent Fractions With Fraction Models: Ccss.Math.Content.4.Nf.A.1

Select the fraction that is equivalent to \displaystyle \frac{1}{3}

1 3

 

Possible Answers:

\displaystyle \frac{1}{2}

1 2

\displaystyle \frac{3}{6}

3 6

\displaystyle \frac{2}{6}

2 6

Correct answer:

\displaystyle \frac{2}{6}

2 6

Explanation:

\displaystyle \frac{1}{3}=\frac{2}{6} 

Notice that when we line up our fraction models, which are the exact same size, the same portion of the rectangle is filled in. 

1 3

2 6

Also, notice that \displaystyle \frac{1}{3} was doubled to get  \displaystyle \frac{2}{6}

\displaystyle \frac{1}{3}\times\frac{2}{2}=\frac{2}{6}

Example Question #11 : Explain Equivalent Fractions With Fraction Models: Ccss.Math.Content.4.Nf.A.1

Select the fraction that is equivalent to \displaystyle \frac{1}{5}

1 5

Possible Answers:

\displaystyle \frac{2}{10}

2 10

\displaystyle \frac{1}{2}

1 2

\displaystyle \frac{2}{4}

2 4

Correct answer:

\displaystyle \frac{2}{10}

2 10

Explanation:

\displaystyle \frac{1}{5}=\frac{2}{10} 

Notice that when we line up our fraction models, which are the exact same size, the same portion of the rectangle is filled in. 

1 5

 

2 10

Also, notice that \displaystyle \frac{1}{5} was doubled to get  \displaystyle \frac{2}{10}

\displaystyle \frac{1}{5}\times\frac{2}{2}=\frac{2}{10}

Example Question #12 : Explain Equivalent Fractions With Fraction Models: Ccss.Math.Content.4.Nf.A.1

Select the fraction that is equivalent to \displaystyle \frac{2}{5}

2 5

Possible Answers:

\displaystyle \frac{4}{10}

4 10

\displaystyle \frac{2}{3}

2 3

\displaystyle \frac{1}{6}

1 6

Correct answer:

\displaystyle \frac{4}{10}

4 10

Explanation:

\displaystyle \frac{2}{5}=\frac{4}{10} 

Notice that when we line up our fraction models, which are the exact same size, the same portion of the rectangle is filled in. 

2 5

4 10

Also, notice that \displaystyle \frac{2}{5} was doubled to get \displaystyle \frac{4}{10}

\displaystyle \frac{2}{5}\times\frac{2}{2}=\frac{4}{10}

Example Question #11 : Extend Understanding Of Fraction Equivalence And Ordering

Select the fraction that is equivalent to \displaystyle \frac{1}{2}

1 2

Possible Answers:

\displaystyle \frac{1}{3}

1 3

\displaystyle \frac{1}{6}

1 5

\displaystyle \frac{6}{12}

6 12

Correct answer:

\displaystyle \frac{6}{12}

6 12

Explanation:

\displaystyle \frac{1}{2}=\frac{6}{12} 

Notice that when we line up our fraction models, which are the exact same size, the same portion of the rectangle is filled in. 

1 2

6 12

Also, notice that \displaystyle \frac{1}{2} was multiplied by \displaystyle \frac{6}{6} to get  \displaystyle \frac{6}{12}

\displaystyle \frac{1}{2}\times\frac{6}{6}=\frac{6}{12}

Example Question #11 : Number & Operations: €”Fractions

Select the fraction that is equivalent to \displaystyle \frac{1}{2}

1 2

Possible Answers:

\displaystyle \frac{5}{10}

5 10

\displaystyle \frac{2}{10}

2 10

\displaystyle \frac{1}{3}

1 3

Correct answer:

\displaystyle \frac{5}{10}

5 10

Explanation:

\displaystyle \frac{1}{2}=\frac{5}{10} 

Notice that when we line up our fraction models, which are the exact same size, the same portion of the rectangle is filled in. 

1 2

5 10

Also, notice that \displaystyle \frac{1}{2} was multiplied by \displaystyle \frac{5}{5} to get  \displaystyle \frac{5}{10}

\displaystyle \frac{1}{2}\times\frac{5}{5}=\frac{5}{10}

Example Question #11 : Explain Equivalent Fractions With Fraction Models: Ccss.Math.Content.4.Nf.A.1

Select the fraction that is equivalent to \displaystyle \frac{1}{2}

1 2

Possible Answers:

\displaystyle \frac{2}{12}

2 12

\displaystyle \frac{4}{8}

4 8

\displaystyle \frac{1}{6}

1 6

Correct answer:

\displaystyle \frac{4}{8}

4 8

Explanation:

\displaystyle \frac{1}{2}=\frac{4}{8} 

Notice that when we line up our fraction models, which are the exact same size, the same portion of the rectangle is filled in. 

1 2

 

4 8

Also, notice that \displaystyle \frac{1}{2} was quadrupled to get to \displaystyle \frac{4}{8}

\displaystyle \frac{1}{2}\times\frac{4}{4}=\frac{4}{8}

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