Question
A 3-column table with 3 rows. Column 1 is labeled Unit Fraction with entries StartFraction 1 Over 10 EndFraction, one-fourth, c. Column 2 is labeled Fraction with 100 in the denominator with entries StartFraction 10 Over 100 EndFraction, b, StartFraction 50 Over 100 EndFraction. Column 3 is labeled Percent with entries a, 25 percent, 50 percent.
Complete the table by finding the missing equivalent form for each row.
a =
b =
c =
Answers
GPT-4o mini
To complete the table, we need to find the equivalent forms of the given fractions and percentages. Let's go row by row.
**Row 1:**
- Unit Fraction: \( \frac{1}{10} \)
- Fraction with 100 in the denominator: \( \frac{10}{100} \)
- Percent: \( a \)
Since \( \frac{10}{100} \) is equivalent to \( \frac{1}{10} \), we can convert it to a percent:
\[
\frac{10}{100} = 10\%
\]
So, \( a = 10\% \).
---
**Row 2:**
- Unit Fraction: \( \frac{1}{4} \)
- Fraction with 100 in the denominator: \( b \)
- Percent: \( 25\% \)
To find \( b \), we convert \( \frac{1}{4} \) to a fraction with a denominator of 100:
\[
\frac{1}{4} = \frac{25}{100}
\]
So, \( b = \frac{25}{100} \).
---
**Row 3:**
- Unit Fraction: \( c \)
- Fraction with 100 in the denominator: \( \frac{50}{100} \)
- Percent: \( 50\% \)
To find \( c \), we can convert \( \frac{50}{100} \) to a unit fraction:
\[
\frac{50}{100} = \frac{1}{2}
\]
So, \( c = \frac{1}{2} \).
---
### Completed Table:
- a = 10%
- b = \( \frac{25}{100} \)
- c = \( \frac{1}{2} \)
**Row 1:**
- Unit Fraction: \( \frac{1}{10} \)
- Fraction with 100 in the denominator: \( \frac{10}{100} \)
- Percent: \( a \)
Since \( \frac{10}{100} \) is equivalent to \( \frac{1}{10} \), we can convert it to a percent:
\[
\frac{10}{100} = 10\%
\]
So, \( a = 10\% \).
---
**Row 2:**
- Unit Fraction: \( \frac{1}{4} \)
- Fraction with 100 in the denominator: \( b \)
- Percent: \( 25\% \)
To find \( b \), we convert \( \frac{1}{4} \) to a fraction with a denominator of 100:
\[
\frac{1}{4} = \frac{25}{100}
\]
So, \( b = \frac{25}{100} \).
---
**Row 3:**
- Unit Fraction: \( c \)
- Fraction with 100 in the denominator: \( \frac{50}{100} \)
- Percent: \( 50\% \)
To find \( c \), we can convert \( \frac{50}{100} \) to a unit fraction:
\[
\frac{50}{100} = \frac{1}{2}
\]
So, \( c = \frac{1}{2} \).
---
### Completed Table:
- a = 10%
- b = \( \frac{25}{100} \)
- c = \( \frac{1}{2} \)