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%)

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Set up the part and whole correctly for this percent problem

24 is 30% of what total number?

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

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Math worksheet on 'Percent as Equivalent Fraction - Sentence to Grid (10%) (Level 1)'. Part of a broader unit on 'Percentages - Intro' Learn online: app.mobius.academy/math/units/percentages_intro/
1
Set up the part and whole correctly for this percent problem
8 is 20% of what total number?
a A LaTex expression showing \begin{array} {lll} & \text{Actual} & \text{Percent} \\ \text{Part} & 8 & ?\\ \text{Whole} & 20 & 100\end{array}
b A LaTex expression showing \begin{array} {lll} & \text{Actual} & \text{Percent} \\ \text{Part} & 8 & 20\\ \text{Whole} & ? & 100\end{array}
2
Set up the part and whole correctly for this percent problem
42 out of 60 is what percent?
a A LaTex expression showing \begin{array} {lll} & \text{Actual} & \text{Percent} \\ \text{Part} & 42 & ?\\ \text{Whole} & 60 & 100\end{array}
b A LaTex expression showing \begin{array} {lll} & \text{Actual} & \text{Percent} \\ \text{Part} & ? & 42\\ \text{Whole} & 60 & 100\end{array}
3
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}
4
Set up the part and whole correctly for this percent problem
What number is 40% of 40?
a A LaTex expression showing \begin{array} {lll} & \text{Actual} & \text{Percent} \\ \text{Part} & 40 & ?\\ \text{Whole} & 40 & 100\end{array}
b A LaTex expression showing \begin{array} {lll} & \text{Actual} & \text{Percent} \\ \text{Part} & ? & 40\\ \text{Whole} & 40 & 100\end{array}
5
Set up the part and whole correctly for this percent problem
24 is 40% of what total number?
a A LaTex expression showing \begin{array} {lll} & \text{Actual} & \text{Percent} \\ \text{Part} & 24 & ?\\ \text{Whole} & 40 & 100\end{array}
b A LaTex expression showing \begin{array} {lll} & \text{Actual} & \text{Percent} \\ \text{Part} & 24 & 40\\ \text{Whole} & ? & 100\end{array}
6
Set up the part and whole correctly for this percent problem
5 is 10% of what total number?
a A LaTex expression showing \begin{array} {lll} & \text{Actual} & \text{Percent} \\ \text{Part} & ? & 10\\ \text{Whole} & 5 & 100\end{array}
b A LaTex expression showing \begin{array} {lll} & \text{Actual} & \text{Percent} \\ \text{Part} & 5 & 10\\ \text{Whole} & ? & 100\end{array}
7
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} & ? & 40\\ \text{Whole} & 50 & 100\end{array}
b A LaTex expression showing \begin{array} {lll} & \text{Actual} & \text{Percent} \\ \text{Part} & 50 & 40\\ \text{Whole} & ? & 100\end{array}