Integer by Fraction Division to Answer - Fraction (Level 1)

This topic focuses on simplifying radical expressions where integers are divided by fractions to yield fractional answers. The problems are structured to involve calculations with variables under the radical, which are then divided by fractional values. Each question requires resolving such expressions into one of several possible simplified fractional outcomes, sharpening skills in handling radicals and fraction operations within the broader subject of radical simplification.

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

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Radicals - Integer by Fraction Division to Answer - Fraction Worksheet

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Math worksheet on 'Radicals - Integer by Fraction Division to Answer - Fraction (Level 1)'. Part of a broader unit on 'Radicals - Simplifying Practice' Learn online: app.mobius.academy/math/units/radicals_simplifying_practice/
1
What does this radical expression simplify to?
A LaTex expression showing square root of 12 divided by 196 over 3
a A LaTex expression showing 4 over 15
b A LaTex expression showing 5 over 7
c A LaTex expression showing 3 over 4
d A LaTex expression showing 1
e A LaTex expression showing 3 over 7
2
What does this radical expression simplify to?
A LaTex expression showing square root of 20 divided by 196 over 5
a A LaTex expression showing 11 over 13
b A LaTex expression showing 6 over 7
c A LaTex expression showing 9 over 5
d A LaTex expression showing 1 over 5
e A LaTex expression showing 5 over 7
3
What does this radical expression simplify to?
A LaTex expression showing square root of 44 divided by 100 over 11
a A LaTex expression showing 7 over 4
b A LaTex expression showing 13 over 6
c A LaTex expression showing 16 over 9
d A LaTex expression showing 11 over 5
e A LaTex expression showing 10 over 3
4
What does this radical expression simplify to?
A LaTex expression showing square root of 15 divided by 27 over 5
a A LaTex expression showing 3 over 2
b A LaTex expression showing 4 over 9
c A LaTex expression showing 8 over 9
d A LaTex expression showing 5 over 4
e A LaTex expression showing 5 over 3
5
What does this radical expression simplify to?
A LaTex expression showing square root of 6 divided by 363 over 2
a A LaTex expression showing 2 over 11
b A LaTex expression showing 1 over 6
c A LaTex expression showing 1 over 9
d A LaTex expression showing 1 over 15
e A LaTex expression showing 4 over 21
6
What does this radical expression simplify to?
A LaTex expression showing square root of 44 divided by 16 over 11
a A LaTex expression showing 11 over 2
b A LaTex expression showing 3
c A LaTex expression showing 8 over 5
d A LaTex expression showing 1 over 6
e A LaTex expression showing 7 over 4
7
What does this radical expression simplify to?
A LaTex expression showing square root of 44 divided by 36 over 11
a A LaTex expression showing 5 over 2
b A LaTex expression showing 7 over 3
c A LaTex expression showing 16 over 5
d A LaTex expression showing 7 over 8
e A LaTex expression showing 11 over 3