List the fractions from least to greatest: 3/8, 5/10, 4/5, 2/9?
Understand the Problem
This question requires us to order a set of fractions from least to greatest. To do this, we can convert each fraction to a decimal or find a common denominator to compare their values.
Answer
$\frac{3}{5}, \frac{5}{8}, \frac{2}{3}$
Answer for screen readers
$\frac{3}{5}, \frac{5}{8}, \frac{2}{3}$
Steps to Solve
- Convert each fraction to a decimal
To compare the fractions, convert each to a decimal by dividing the numerator by the denominator. $$ \frac{2}{3} = 0.666... \approx 0.67 $$ $$ \frac{5}{8} = 0.625 \approx 0.63 $$ $$ \frac{3}{5} = 0.6 $$
- Compare the decimal values
Now we can easily compare the decimal values: $0.60 < 0.625 < 0.666...$
- Write the original fractions in order
So, the order from least to greatest is: $\frac{3}{5}$, $\frac{5}{8}$, $\frac{2}{3}$
$\frac{3}{5}, \frac{5}{8}, \frac{2}{3}$
More Information
Fractions are simply division operations in disguise. Converting to decimals allows us to use the place value system to easily compare the magnitudes of each value.
Tips
A common mistake is to incorrectly perform the division when converting fractions to decimals. Also, errors can occur when not carrying out enough decimal places when converting, especially when comparing numbers like 2/3 and 3/5.
AI-generated content may contain errors. Please verify critical information
