List these fractions in order from least to greatest: 3/8, 5/10, 4/5, 2/9
Understand the Problem
The question asks to order the fractions 3/8, 5/10, 4/5, and 2/9 from least to greatest. To do this, we need to compare the values of these fractions. One approach is to convert each fraction to a decimal or find a common denominator to compare them directly.
Answer
$2/9 < 3/8 < 5/10 < 4/5$
Answer for screen readers
$2/9 < 3/8 < 5/10 < 4/5$
Steps to Solve
- Convert fractions to decimals
Convert each fraction to its decimal equivalent by dividing the numerator by the denominator. $3/8 = 0.375$ $5/10 = 0.5$ $4/5 = 0.8$ $2/9 = 0.222...$ (approximately 0.222)
- Order the decimals from least to greatest
Compare the decimal values obtained in the previous step: $0.222 < 0.375 < 0.5 < 0.8$
- Write the original fractions in the correct order
Replace the decimal values with their corresponding fractions: $2/9 < 3/8 < 5/10 < 4/5$
$2/9 < 3/8 < 5/10 < 4/5$
More Information
The order of the fractions from least to greatest is: $2/9, 3/8, 5/10, 4/5$. Converting each fraction to a decimal makes it easier to compare their values and arrange them in ascending order.
Tips
A common mistake is to incorrectly convert fractions to decimals, leading to an incorrect ordering. Another mistake is comparing the denominators directly without considering the numerators. For example, incorrectly assuming that a larger denominator automatically means a smaller fraction. To avoid this, always convert to decimals or find a common denominator before comparing.
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