Example Question - decimal values
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Completing Table with Decimal and Fraction Values
To complete the table above, we need to fill in the missing decimal and fraction values for the types of towels given their proportions. Here's how we can find the missing values: 1. Convert the fraction for the "Face Towel" into decimal form: \( \frac{1}{4} = 0.25 \) (this is already provided but confirms how to convert) 2. Convert the fraction for the "Hand Towel" into decimal form: \( \frac{3}{20} \) To convert this fraction to a decimal, you can divide the numerator by the denominator: \( 3 ÷ 20 = 0.15 \) 3. Convert the decimal for the "Bath Towel" into fraction form: \( 0.5 \) can be expressed as \( \frac{1}{2} \) 4. Convert the fraction for the "Bath Sheet" into decimal form: \( \frac{1}{10} = 0.1 \) (this is already provided but confirms how to convert) Now fill in the table with the corresponding values: - Face Towel: Decimal: 0.25, Fraction: \( \frac{1}{4} \) - Hand Towel: Decimal: 0.15, Fraction: \( \frac{3}{20} \) - Bath Towel: Decimal: 0.5, Fraction: \( \frac{1}{2} \) - Bath Sheet: Decimal: 0.1, Fraction: \( \frac{1}{10} \)
Ordering Fractions by Decimal Values
Para ordenar fracciones de mayor a menor, es útil convertirlas a un denominador común o comparar sus valores decimales. Vamos a utilizar el método de valor decimal: - \( \frac{7}{8} = 0.875 \) - \( \frac{3}{5} = 0.6 \) - \( \frac{4}{3} = 1.333... \) - \( \frac{2}{3} = 0.666... \) Ahora, al ordenarlos de mayor a menor según sus valores decimales, obtenemos: \( \frac{4}{3} \), \( \frac{7}{8} \), \( \frac{2}{3} \), \( \frac{3}{5} \) Por lo tanto, el orden de mayor a menor de las fracciones dadas es: \( \frac{4}{3} > \frac{7}{8} > \frac{2}{3} > \frac{3}{5} \)
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