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Percent as Equivalent Fraction - Sentence to Grid (10%)

Level 1

This math topic focuses on understanding and converting percentages into equivalent fractions. Specifically, it involves setting up the part and whole correctly in equations derived from real-world scenarios to find unknown values such as the total number, percentages, or specific parts. Each problem provides a statement (e.g., "8 is 20% of what total number?"), and learners need to identify the correct fraction structure representation with given parts and wholes. The problems range in complexity and help learners visualize and solve percentage problems systematically.

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

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Percent as Equivalent Fraction - Sentence to Grid (10%) Worksheet

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Percent as Equivalent Fraction - Sentence to Grid (10%)
1
Set up the part and whole correctly for this percent problem
27 out of 90 is what percent?
a A LaTex expression showing \begin{array} {lll} & \text{Actual} & \text{Percent} \\ \text{Part} & 27 & 90\\ \text{Whole} & ? & 100\end{array}
b A LaTex expression showing \begin{array} {lll} & \text{Actual} & \text{Percent} \\ \text{Part} & 27 & ?\\ \text{Whole} & 90 & 100\end{array}
2
Set up the part and whole correctly for this percent problem
64 is 80% of what total number?
a A LaTex expression showing \begin{array} {lll} & \text{Actual} & \text{Percent} \\ \text{Part} & 80 & 64\\ \text{Whole} & ? & 100\end{array}
b A LaTex expression showing \begin{array} {lll} & \text{Actual} & \text{Percent} \\ \text{Part} & 64 & 80\\ \text{Whole} & ? & 100\end{array}
3
Set up the part and whole correctly for this percent problem
What number is 40% of 50?
a A LaTex expression showing \begin{array} {lll} & \text{Actual} & \text{Percent} \\ \text{Part} & 50 & 40\\ \text{Whole} & ? & 100\end{array}
b A LaTex expression showing \begin{array} {lll} & \text{Actual} & \text{Percent} \\ \text{Part} & ? & 40\\ \text{Whole} & 50 & 100\end{array}
4
Set up the part and whole correctly for this percent problem
36 is 60% of what total number?
a A LaTex expression showing \begin{array} {lll} & \text{Actual} & \text{Percent} \\ \text{Part} & 60 & 36\\ \text{Whole} & ? & 100\end{array}
b A LaTex expression showing \begin{array} {lll} & \text{Actual} & \text{Percent} \\ \text{Part} & 36 & 60\\ \text{Whole} & ? & 100\end{array}
5
Set up the part and whole correctly for this percent problem
42 out of 70 is what percent?
a A LaTex expression showing \begin{array} {lll} & \text{Actual} & \text{Percent} \\ \text{Part} & 42 & 70\\ \text{Whole} & ? & 100\end{array}
b A LaTex expression showing \begin{array} {lll} & \text{Actual} & \text{Percent} \\ \text{Part} & 42 & ?\\ \text{Whole} & 70 & 100\end{array}
6
Set up the part and whole correctly for this percent problem
63 out of 90 is what percent?
a A LaTex expression showing \begin{array} {lll} & \text{Actual} & \text{Percent} \\ \text{Part} & 90 & ?\\ \text{Whole} & 63 & 100\end{array}
b A LaTex expression showing \begin{array} {lll} & \text{Actual} & \text{Percent} \\ \text{Part} & 63 & ?\\ \text{Whole} & 90 & 100\end{array}
7
Set up the part and whole correctly for this percent problem
9 is 10% of what total number?
a A LaTex expression showing \begin{array} {lll} & \text{Actual} & \text{Percent} \\ \text{Part} & 9 & 10\\ \text{Whole} & ? & 100\end{array}
b A LaTex expression showing \begin{array} {lll} & \text{Actual} & \text{Percent} \\ \text{Part} & ? & 10\\ \text{Whole} & 9 & 100\end{array}
8
Set up the part and whole correctly for this percent problem
What number is 80% of 70?
a A LaTex expression showing \begin{array} {lll} & \text{Actual} & \text{Percent} \\ \text{Part} & 70 & 80\\ \text{Whole} & ? & 100\end{array}
b A LaTex expression showing \begin{array} {lll} & \text{Actual} & \text{Percent} \\ \text{Part} & ? & 80\\ \text{Whole} & 70 & 100\end{array}