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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Radicals - Integer by Fraction Division to Answer - Fraction
1
What does this radical expression simplify to?
A LaTex expression showing square root of 15 divided by 12 over 5
a A LaTex expression showing 2 over 3
b A LaTex expression showing 6 over 5
c A LaTex expression showing 4 over 3
d A LaTex expression showing 11 over 5
e A LaTex expression showing 5 over 2
2
What does this radical expression simplify to?
A LaTex expression showing square root of 22 divided by 8 over 11
a A LaTex expression showing 11 over 2
b A LaTex expression showing 19 over 6
c A LaTex expression showing 7 over 6
d A LaTex expression showing 1
e A LaTex expression showing 16 over 7
3
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 7 over 8
b A LaTex expression showing 16 over 5
c A LaTex expression showing 5 over 2
d A LaTex expression showing 11 over 3
e A LaTex expression showing 7 over 3
4
What does this radical expression simplify to?
A LaTex expression showing square root of 28 divided by 484 over 7
a A LaTex expression showing 7 over 11
b A LaTex expression showing 6 over 13
c A LaTex expression showing 11 over 10
d A LaTex expression showing 4 over 23
e A LaTex expression showing 7 over 2
5
What does this radical expression simplify to?
A LaTex expression showing square root of 44 divided by 196 over 11
a A LaTex expression showing 1
b A LaTex expression showing 6 over 11
c A LaTex expression showing 14 over 11
d A LaTex expression showing 15 over 7
e A LaTex expression showing 11 over 7
6
What does this radical expression simplify to?
A LaTex expression showing square root of 15 divided by 147 over 5
a A LaTex expression showing 9 over 5
b A LaTex expression showing 9 over 11
c A LaTex expression showing 2
d A LaTex expression showing 5 over 7
e A LaTex expression showing 6 over 13
7
What does this radical expression simplify to?
A LaTex expression showing square root of 15 divided by 363 over 5
a A LaTex expression showing 5 over 11
b A LaTex expression showing 3 over 16
c A LaTex expression showing 1 over 5
d A LaTex expression showing 3 over 4
e A LaTex expression showing 9 over 20
8
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 3
b A LaTex expression showing 11 over 2
c A LaTex expression showing 1 over 6
d A LaTex expression showing 8 over 5
e A LaTex expression showing 7 over 4