Fraction and hand calculations: answer key to 6th grade math exercises in PDF.

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Answer key to 6th grade math exercises on fractions. Represent a fraction, know how to calculate a fraction of a quantity in sixth grade.

Exercise 1:

a. \frac{2}{3}\times  \,24

2\times  \,24:3=48:3=16

b. 5\times  \,\frac{21}{7}

5\times  \,21:7=5\times  \,3=15

c. 4\times  \,\frac{23}{100}

4\times  \,23:100=92:100=0,92

d. 80\times  \,\frac{7}{4}

80:4\times  \,7=20\times  \,7=140

Exercise 2:

Volume (in L) 3 1
Price (in €) 5 P

a. Rounding to the nearest whole number;

P=\frac{5\times  \,1}{3}=\frac{5}{3}

P\simeq\,2\,euros

b. By truncating to the hundredth ;

P\simeq\,1,66\,euros

c. Give the exact price of one liter of this orange juice.

P=\frac{5}{3}

Fruit juices and fractions

Exercise 3:

A lap is 400 m long.

Ludovic has covered \frac{1}{10}.

400\times  \,\frac{1}{10}=40 meters .

Sylvie has covered \frac{1}{4}.

400\times  \,\frac{1}{4}=100 meters.

Rosa made a half turn.

It has covered 200 meters.

Kévin has covered \frac{1}{9}.

400\times  \,\frac{1}{9}=\frac{400}{9}\simeq\,44,44\,m

Race and fractions.

Exercise 4:

In each case, write the missing number as a fraction.

a. \frac{3}{5}\times  \,5=3

b. \frac{12}{7}\times  \,7=12

c. 3\times  \frac{51}{3}=51

d. 4\times  \frac{13}{4}=13

Exercise 5:

Here is a list of fractions.

\frac{3}{2}\,\,\frac{15}{7}\,\,\frac{8}{3}\,\,\frac{7}{2}\,\,\frac{8}{15}\,\,\frac{15}{8}

a. Copy fractions that have the same numerator.

\frac{8}{3}\,et\,\frac{8}{15}

\frac{15}{7}\,et\,\frac{15}{8}

b. Copy the fractions that have the same denominator.

\frac{3}{2}\,et\,\frac{7}{2}

Exercise 6:

Here is a list of fractional writing.

\frac{5}{4}\,\,\frac{2,3}{8}\,\,\frac{3}{2,5}\,\,\frac{10}{3}\,\,\frac{5,4}{21,5}\,\,\frac{15}{100}

Copy the fractions in this list.

\frac{5}{4}\,;\,\frac{10}{3};\,\frac{15}{100}

Answers to the exercises on fractions in 6th grade

After consulting the answers to these exercises on fractions in 6th grade, you can go back to the exercises in 6th grade.

Sixth grade exercises.

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