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## Texas Go Math Grade 6 Module 2 Answer Key Rational Numbers

**Texas Go Math Grade 6 Module 2 Are you ready? Answer Key**

**Write each improper fraction as a mixed number.**

Question 1.

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

Answer:

Firstly, we will write this improper fraction as a sum of proper fractions(ones) plus one which is not proper

SecondLy, we wilt exchange proper fractions with ones!

Thirdly, we will add them

Final soLution wilt be: mixed number.

\(\frac{7}{2}\) = \(\frac{2}{2}+\frac{2}{2}+\frac{2}{2}+\frac{1}{2}\)

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

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

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

Question 2.

\(\frac{12}{5}\)

Answer:

Firstly, we will write this improper fraction as a sum of proper fractions(ones) plus one which is not proper

Secondly, we will exchange proper fractions with ones!

Thirdly, we will add them

Final solution will be: mixed number

\(\frac{12}{5}\) = \(\frac{5}{5}+\frac{5}{5}+\frac{2}{5}\)

= 1 + 1 + \(\frac{2}{5}\)

= 2 + \(\frac{2}{5}\)

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

Question 3.

\(\frac{11}{7}\)

Answer:

Firstly, we will write this improper fraction as a sum of proper fractions(ones) plus one which is not proper

SecondLy, we wiLl exchange proper fractions with ones!

Thirdly, we will add them

Final solution will be: mixed number

\(\frac{11}{7}\) = \(\frac{7}{7}+\frac{4}{7}\)

= 1 + \(\frac{4}{7}\)

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

Question 4.

\(\frac{15}{4}\)

Answer:

Firstly, we will write this improper fraction as a sum of proper fractions(ones) plus one which is not proper

Secondly, we will exchange proper fractions with ones!

Thirdly, we will add them.

Final solution will be: mixed number.

\(\frac{15}{4}\) = \(\frac{4}{4}+\frac{4}{4}+\frac{4}{4}+\frac{3}{4}\)

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

= 3 + \(\frac{3}{4}\)

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

**Write each mixed number as an improper fraction.**

Question 5.

2\(\frac{1}{2}\)

Answer:

Firstly, we will write the whole number as a sum of ones.

Secondly, we will use the denominator to find corresponding fractions for ones.

Thirdly, we will. calculate sum of numerators!

To reach our final solution: improper fraction.

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

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

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

Question 6.

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

Answer:

Firstly, we will write the whole number as a sum of ones.

Secondly, we will use the denominator to find corresponding fractions for ones.

Thirdly, we will calculate sum of numerators!

To reach our final solution: improper fraction.

4\(\frac{3}{5}\) = 1 + 1 + 1 + 1 + \(\frac{3}{5}\)

= \(\frac{5}{5}+\frac{5}{5}+\frac{5}{5}+\frac{5}{5}+\frac{3}{5}\)

= \(\frac{23}{5}\)

Question 7.

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

Answer:

Firstly, we will write the whole number as a sum of ones.

Secondly, we will use the denominator to find corresponding fractions for ones.

Thirdly, we will calculate sum of numerators!

To reach our final solution: improper fraction.

3\(\frac{4}{9}\) = 1 + 1 + 1 + \(\frac{4}{9}\)

= \(\frac{9}{9}+\frac{9}{9}+\frac{9}{9}+\frac{4}{9}\)

= \(\frac{31}{9}\)

Question 8.

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

Answer:

Firstly, we will write the whole number as a sum of ones.

Secondly, we will use the denominator to find corresponding fractions for ones.

Thirdly, we will calculate sum of numerators!

To reach our final solution: improper fraction.

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

= \(\frac{7}{7}+\frac{7}{7}+\frac{5}{7}\)

= \(\frac{19}{7}\)

**Find the least common denominator.**

Question 9.

\(\frac{1}{2}\) and \(\frac{3}{5}\) _________

Answer:

Firstly, we will list multiples of each denominator.

Secondly, we will highlight common multiples!

Thirdly, we will determine, which is the least common denominator!

Least Common denominator is 10

Question 10.

\(\frac{1}{6}\) and \(\frac{3}{8}\) _________

Answer:

Firstly, we will list multiples of each denominator.

Secondly, we will highlight common multiples!

Thirdly, we will determine, which is the least common denominator!

Least Common denominator is 24

Question 11.

\(\frac{9}{10}\) and \(\frac{7}{12}\) _________

Answer:

Firstly, we will list multiples of each denominator.

Secondly, we will highlight common multiples!

Thirdly, we will determine, which is the least common denominator!

Least Common denominator is 60

Question 12.

\(\frac{4}{9}\) and \(\frac{5}{12}\) _________

Answer:

Firstly, we will list multiples of each denominator.

Secondly, we will highlight common multiples!

Thirdly, we will determine, which is the least common denominator!

Least Common denominator is 36

**Texas Go Math Grade 6 Module 2 Reading Start-Up Answer Key**

**Visualize Vocabulary
**

**Use the ✓ words to complete the web. You may put more than one word in each box.**

**Understand Vocabulary**

**Fill in each blank with the correct term from the preview words.**

Question 1.

A _________________ is any number that can be written as a ratio of two integers.

Answer:

A rational is any number that can be written as a ratio of two integers!

Question 2.

A _________________ is used to show the relationships between groups.

Answer:

A Venn diagram is used to show the relationships between groups.