Go math grade 5 chapter 6 review test answer key


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Mid chapter checkpoint 5th grade chapter 6 awser key

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QUESTION 1

A common multiple is a number that is a multiple of two or more numbers.

For instance 18 is a common multiple of 2 and 3.

This is not the only common multiple.

QUESTION 2

A common denominator is a common multiple of two or more denominators.

For instance a common denominator for \frac{1}{2} ,\frac{1}{4}

is 4


This is also not the only common denominator.

QUESTION 3

We were given;

\frac{8}{9}+\frac{4}{7}

We want to estimate the sum of the given fractions.


We collect LCM to obtain,

=\frac{8\times 7+9\times4}{63}


We multiply out in the numerator to obtain,


=\frac{56+36}{63}


We perform the addition in the numerator to obtain,

=\frac{92}{63}


We express the final answer as a mixed number to obtain,


=1\frac{29}{63}



QUESTION 4


The given expression is 3\frac{2}{5}-\frac{5}{8}.


Let us change the first first mixed number into an improper fraction to get,

=\frac{17}{5}-\frac{5}{8}

We collect LCM of the denominators which is 40 to obtain,

=\frac{8\times17-5\times5}{40}


We now multiply out in the numerator to get,

=\frac{136-25}{40}


We carry out the subtraction in the numerator to get,

=\frac{111}{40}


We express the final answer as a mixed number to obtain;

=2\frac{31}{40}


QUESTION 5

The given fraction is 1\frac{5}{6}+2\frac{2}{11}.


Let us first of all change each mixed number to improper fractions

=\frac{11}{6}+\frac{24}{11}


We now collect LCM of the denominators to obtain,

=\frac{11\times11+24\times6}{66}


We multiply in the numerator to get,


=\frac{121+144}{66}


This gives,

=\frac{265}{66}


=4\frac{1}{66}


QUESTION 6

The given fractions are;

\frac{1}{6},\frac{1}{9}.


The least common denominator is 18.


We obtain the equivalent fraction by multiplying the denominator and numerator of each fraction by a common factor that gives 18 in the denominator.


\frac{1\times3}{6\times3},\frac{1\times2}{9\times2}.


This gives us;

\frac{3}{18},\frac{2}{18}.


QUESTION 7

The given fractions are;

\frac{5}{6},\frac{3}{8}.

The least common denominator is 24.


We obtain the equivalent fraction by multiplying the denominator and numerator of each fraction by a common factor that gives 24 in the denominator.


\frac{5\times4}{6\times4},\frac{3\times3}{8\times3}.


This gives us;

\frac{20}{24},\frac{9}{24}.


QUESTION 8


The given fractions are;

\frac{3}{8},\frac{3}{10}.

The least common denominator is 40.


We obtain the equivalent fraction by multiplying the denominator and numerator of each fraction by a common factor that gives 40 in the denominator.


\frac{3\times5}{8\times5},\frac{3\times4}{10\times40}.


This gives us;

\frac{15}{40},\frac{12}{40}.




QUESTION 9

The given fractions are;

\frac{2}{5},\frac{1}{10}.

The least common denominator is 10.


We obtain the equivalent fraction by multiplying the denominator and numerator of each fraction by a common factor that gives 10 in the denominator.


\frac{2\times2}{5\times2},\frac{1\times1}{10\times1}.


This gives us;

\frac{4}{10},\frac{1}{10}.


QUESTION 10

The given fractions are;

\frac{1}{9},\frac{5}{12}.

The least common denominator is 36.


We obtain the equivalent fraction by multiplying the denominator and numerator of each fraction by a common factor that gives 36 in the denominator.


\frac{1\times4}{9\times4},\frac{5\times3}{12\times3}.


This gives us;

\frac{4}{36},\frac{3}{36}.


QUESTION  11

The given fractions are;

\frac{1}{3},\frac{2}{7}.

The least common denominator is 21.


We obtain the equivalent fraction by multiplying the denominator and numerator of each fraction by a common factor that gives 21 in the denominator.


\frac{1\times7}{3\times7},\frac{2\times3}{7\times3}.


This gives us;

\frac{7}{21},\frac{6}{21}.


QUESTION 12,

The given fraction is

\frac{11}{18}-\frac{1}{6}


The least common denominator is 18.


We collect LCD to obtain,


=\frac{11-3\times1}{18}

This simplifies to;


=\frac{11-3}{18}


=\frac{8}{18}


=\frac{9}{4}



QUESTION 13


The given fraction is

\frac{2}{7}+\frac{2}{5}


The least common denominator is 35.


We collect LCD to obtain,


=\frac{2\times5+2\times7}{35}

This simplifies to;


=\frac{10+14}{35}

=\frac{24}{35}


QUESTION 14


The given fraction is

\frac{3}{4}-\frac{3}{10}


The least common denominator is 20.


We collect LCD to obtain,


=\frac{3\times5-3\times2}{20}

This simplifies to;


=\frac{15-6}{20}

=\frac{9}{20}








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