Question
Which sign makes the statement true? \( 90 \% ? \frac{3}{5} \)
Ask by Park Donnelly. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 90\% > \frac{3}{5} \)
Solution
To determine which inequality sign (`>`, `<`, or `=`) makes the statement true for \( 90\% \) and \( \frac{3}{5} \), let's compare the two values numerically.
1. **Convert Percent to Decimal:**
\[
90\% = 0.90
\]
2. **Convert Fraction to Decimal:**
\[
\frac{3}{5} = 0.60
\]
3. **Compare the Two Decimals:**
\[
0.90 \quad \text{vs.} \quad 0.60
\]
Clearly,
\[
0.90 > 0.60
\]
**Conclusion:**
\[
90\% \, > \, \frac{3}{5}
\]
**Answer:** \( 90\% > \frac{3}{5} \)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
To make the statement true, you would need to use the less than sign (<). This is because \( 90\% \) is equivalent to \( 0.9 \), and \( \frac{3}{5} \) is equal to \( 0.6 \). Thus, \( 90\% < \frac{3}{5} \) is correct since \( 0.9 > 0.6 \). Additionally, if you calculated \( 90\% \) of a number, like 100, you would get 90. If you take \( \frac{3}{5} \) of the same number, you would get 60. This comparison helps visualize how percentages and fractions relate to one another in practical situations, such as determining discounts or percentages of total quantities in shopping!
