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.

Question

Complete the table by finding the missing equivalent form for each row.

a =
b =
c =

Answer 1

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, \( a = 10% \).

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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, \( b = \frac{25}{100} \).

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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, \( c = \frac{1}{2} \).

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Completed Table:

• a = 10%
• b = \( \frac{25}{100} \)
• c = \( \frac{1}{2} \)