Integer by Fraction Division to Answer - Fraction (Level 2)

This math topic focuses on simplifying radical expressions involving the division of integers by fractions, with the answers also expressed as fractions. As part of a broader unit on radical simplification, it includes several practice problems where students are required to simplify given radical expressions and choose the correct simplified form from multiple options. Each question presents a radical divided by a complex fractional expression, testing the student's ability to handle both roots and rational expressions systematically.

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 28 divided by 48 over 21
a A LaTex expression showing 5 over 3
b A LaTex expression showing 8 over 5
c A LaTex expression showing 7 over 2
d A LaTex expression showing 1 over 4
e A LaTex expression showing 2 over 3
2
What does this radical expression simplify to?
A LaTex expression showing square root of 6 divided by 108 over 8
a A LaTex expression showing 1 over 2
b A LaTex expression showing 5 over 6
c A LaTex expression showing 1 over 8
d A LaTex expression showing 1 over 4
e A LaTex expression showing 2 over 3
3
What does this radical expression simplify to?
A LaTex expression showing square root of 28 divided by 300 over 21
a A LaTex expression showing 1 over 8
b A LaTex expression showing 3 over 4
c A LaTex expression showing 7 over 5
d A LaTex expression showing 2 over 3
e A LaTex expression showing 12 over 13
4
What does this radical expression simplify to?
A LaTex expression showing square root of 14 divided by 32 over 28
a A LaTex expression showing 3
b A LaTex expression showing 7 over 2
c A LaTex expression showing 1
d A LaTex expression showing 14 over 5
e A LaTex expression showing 1 over 4
5
What does this radical expression simplify to?
A LaTex expression showing square root of 21 divided by 48 over 28
a A LaTex expression showing 1 over 6
b A LaTex expression showing 10 over 7
c A LaTex expression showing 2 over 3
d A LaTex expression showing 4
e A LaTex expression showing 7 over 2
6
What does this radical expression simplify to?
A LaTex expression showing square root of 6 divided by 484 over 6
a A LaTex expression showing 3 over 11
b A LaTex expression showing 2 over 3
c A LaTex expression showing 5 over 6
d A LaTex expression showing 1 over 11
e A LaTex expression showing 4 over 11
7
What does this radical expression simplify to?
A LaTex expression showing square root of 21 divided by 81 over 21
a A LaTex expression showing 3 over 5
b A LaTex expression showing 14 over 5
c A LaTex expression showing 14 over 3
d A LaTex expression showing 7 over 3
e A LaTex expression showing 1 over 8
8
What does this radical expression simplify to?
A LaTex expression showing square root of 20 divided by 108 over 15
a A LaTex expression showing 5 over 3
b A LaTex expression showing 11 over 6
c A LaTex expression showing 1 over 7
d A LaTex expression showing 1 over 3
e A LaTex expression showing 1 over 2