Write the following fractions in ascending order:
a. [tex]\frac{-6}{4}, \frac{-2}{4}, \frac{-1}{5}[/tex]
Answer (2)
The fractions in ascending order are 4 − 6 , 4 − 2 , and 5 − 1 . The corresponding decimal forms are -1.5, -0.5, and -0.2, respectively. Therefore, 4 − 6 < 4 − 2 < 5 − 1 .
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To arrange the fractions 4 − 6 , 4 − 2 , and 5 − 1 in ascending order, we need to express them with a common understanding.
Step-by-Step Process:
Convert Fractions to Decimals (Optional):
4 − 6 = − 1.5
4 − 2 = − 0.5
5 − 1 = − 0.2
This helps compare the values easily, but it's not always necessary.
Compare the Values:
Since negative numbers are less when further from zero, we look for the most negative (smallest) value and work towards the less negative (larger) value.
Ordering the Values:
4 − 6 = − 1.5 is the smallest (most negative).
4 − 2 = − 0.5 is next.
5 − 1 = − 0.2 is the largest (least negative).
Ascending Order:
The fractions in ascending order are:
4 − 6 , 4 − 2 , 5 − 1
These steps help us accurately compare and order fractions, especially when dealing with negative values.
