Fraction Division As Fraction - Improper

Level 2

This math topic focuses on practicing the skill of dividing improper fractions and simplifying the results. It is part of a broader unit on fraction division, specifically targeting more complex scenarios involving improper fractions. Each question presents a pair of fractions to be divided, with multiple answer choices provided, depicted through rendered LaTex expressions. This serves to enhance understanding of fraction operations and improve simplification techniques.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Fraction Division As Fraction - Improper

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10

Divide these fractions and simplify the answer

(85)(35)\frac{(\frac{8}{5})}{(\frac{3}{5})}

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Teaching Transcript

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Let's divide 3 quarters by 2 thirds

Dividing fractions is the same as multiplying the inverse, so this becomes 3 quarters, times three halfs

Multiplying numerators and denominators gives us an answer of 9 over 8

Which can be simplified to 1 and 1 over 8

Fraction Division As Fraction - Improper Worksheet

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Math worksheet on 'Fraction Division As Fraction - Improper (Level 2)'. Part of a broader unit on 'Fraction Division - Practice' Learn online: app.mobius.academy/math/units/fractions_division_practice/
1
Divide these fractions and simplify the answer
A LaTex expression showing (\frac{3 over 2 )}{(3 over 6 )}
a A LaTex expression showing 3 over 4
b A LaTex expression showing 3
c A LaTex expression showing 14 over 5
d A LaTex expression showing 11 over 2
e A LaTex expression showing 41 over 2
2
Divide these fractions and simplify the answer
A LaTex expression showing (\frac{9 over 2 )}{(7 over 8 )}
a A LaTex expression showing 13 over 14
b A LaTex expression showing 81 over 2
c A LaTex expression showing 51 over 7
d A LaTex expression showing 18 over 9
e A LaTex expression showing 315 over 16
f A LaTex expression showing 23 over 7
3
Divide these fractions and simplify the answer
A LaTex expression showing (\frac{8 over 5 )}{(4 over 7 )}
a A LaTex expression showing 12 over 3
b A LaTex expression showing 3 over 4
c A LaTex expression showing 24 over 5
d A LaTex expression showing 3
e A LaTex expression showing 33 over 4
f A LaTex expression showing 32 over 35
4
Divide these fractions and simplify the answer
A LaTex expression showing (\frac{2 over 7 )}{(8 over 2 )}
a A LaTex expression showing 4 over 15
b A LaTex expression showing 1 over 14
c A LaTex expression showing 11 over 7
d A LaTex expression showing 4 over 7
e A LaTex expression showing 1 over 2
5
Divide these fractions and simplify the answer
A LaTex expression showing (\frac{3 over 5 )}{(9 over 5 )}
a A LaTex expression showing 12 over 25
b A LaTex expression showing 13 over 5
c A LaTex expression showing 8 over 45
d A LaTex expression showing 8 over 9
e A LaTex expression showing 1 over 3
f A LaTex expression showing 4 over 7
6
Divide these fractions and simplify the answer
A LaTex expression showing (\frac{8 over 6 )}{(3 over 5 )}
a A LaTex expression showing 4 over 5
b A LaTex expression showing 22 over 9
c A LaTex expression showing 21 over 6
d A LaTex expression showing 41 over 3
e A LaTex expression showing 13 over 18
f A LaTex expression showing 14 over 9
7
Divide these fractions and simplify the answer
A LaTex expression showing (\frac{1 over 3 )}{(4 over 3 )}
a A LaTex expression showing 1
b A LaTex expression showing 1 over 4
c A LaTex expression showing 4 over 9
d A LaTex expression showing 4 over 7
e A LaTex expression showing 1 over 3
f A LaTex expression showing 11 over 3