[y10] fractions - all types

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  • 8/13/2019 [Y10] Fractions - All Types

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    FRACTION SKILLS[A] MULTIPLICATION

    1. Multiply these fractions. Simplify your answer if possible.a) !

    !! !

    !! b) !

    !!" !

    !!

    c) !!

    ! !!! d) !

    !!" !

    !!

    2. Complete this sentence: To multiply fractions, we must changed mixed numbers into_________________________

    3. Multiply and simplify the answer:a) ! !

    !! !

    !! b) ! !

    !!! !

    !!

    c) !! !!! d) !

    !!! !

    !!

    [B] DIVISION

    1. Write down the reciprocal of each of these fractions:a) !

    ! b) !

    ! c) ! !

    !

    d) ! !!

    e) ! f) ! !!

    2. Complete this sentence: To divide two fractions, we multiply the first fraction with the________________ of the second fraction.

    3. Divide. Simplify the answer.a) !

    !! !

    !! b) ! !

    !!

    !

    !!

    c) !!! ! ! d) ! !

    !! !

    !

    !!

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    [C] ADDING & SUBTRACTING

    1. Calculate and simplify your answer.a) ! !

    !!

    !

    !! b) !

    !!

    !

    !!

    c) ! !! ! ! !! ! d) ! !!! ! !! !e) ! !

    !! !

    !

    !! f) ! !

    !! !

    !

    !!

    2. Complete this sentence: To add or subtract fractions, we need a ________________denominator.

    3. Change each set of fractions into an equivalent set with the same denominator.

    a) !!

    ! !!

    !!

    !!

    b) !!

    ! !!!

    ! !

    c)!!

    ! ! !!

    ! ! !

    4. Calculate and simplify.a) !

    !!

    !

    !! b) !

    !!

    !

    !!

    c) !

    !!

    !

    !!

    d) !!!

    !

    !!

    e) !!!

    !

    !! f) ! !

    !!

    !

    !!

    g) ! !!! !

    !

    !! h) ! !

    !! !

    !

    !!

    i) ! !!! !

    !

    !! j) ! !

    !! !

    !

    !!

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    [E] BRINGING IT ALL TOGETHER

    1. Work out:a) !

    !!"!"!!" ! b) !

    !!"!!!"# !

    c) !!" !"!!"#$%& ! d) !! !"!!"##$ !e) !

    !!"!"!!" ! f) !

    !"!"!!"#$%&'(& !

    g) !!"!"!!"# ! h) !

    !"!"!!!"# !

    i) !!!"!"!!" ! j) !

    !!"!!"#$%& !

    2. Write simple fractions for the following:a. A class has 15 girls and 10 boys. What fraction of the class are girls? What fraction areboys?b. Another class has 9 girls and 15 boys. What fraction of the class are girls? What fraction

    are boys?

    c. Judiths family has driven 120 km out of a journey of 280 km. What fraction of the triphas been covered? What fraction remains?

    d. Alison has spent $1.50 out of her $5.00 allowance. What fraction of her money has shespent? What fraction does she have left?

    e. A school year consists of 40 weeks. At the end of week 24, what fraction of the schoolyear is over? What fraction remains?

    f. At midnight on 25 September, what fraction of the month is past? What fractionremains?

    3. How many minutes in each of the following fractions of 1 hour?a) !

    ! b) !

    !" c) !

    !"

    d) !!

    e) !!

    f) !!!"

    4. How many centimetres in each of the following fractions of 1 metre?a) !

    ! b) !

    !" c) !

    !!

    d) !!

    e) !!!

    f) !"!"

    5. How many millilitres in each of the following fractions of 1 litre?a) !

    ! b) !

    ! c) !

    !"

    d) !!

    e) !!"

    f) !"!"!