Put these fractions into ascending order: 3/5, 1/5, 3/10.
Answer (2)
To arrange the fractions 5 3 , 5 1 , and 10 3 in ascending order, we convert them to a common denominator of 10. The fractions in ascending order are 5 1 , 10 3 , 5 3 .
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To put the fractions 5 3 , 5 1 , and 10 3 into ascending order, we need to compare them based on their values. Here's a step-by-step guide:
Understand the Fractions:
5 3 means 3 parts out of 5.
5 1 means 1 part out of 5.
10 3 means 3 parts out of 10.
Find a Common Denominator:
The denominators we have are 5 and 10.
The least common denominator (LCD) of 5 and 10 is 10.
Convert Each Fraction to Have the Common Denominator:
Convert 5 3 to an equivalent fraction with a denominator of 10: 5 3 = 5 × 2 3 × 2 = 10 6
5 1 converts to: 5 1 = 5 × 2 1 × 2 = 10 2
10 3 is already over a denominator of 10.
Compare the Fractions:
Now we compare 10 6 , 10 2 , and 10 3 .
In ascending order: 10 2 , 10 3 , 10 6 .
Convert Back to Original Fractions:
10 2 is 5 1 .
10 3 remains 10 3 .
10 6 is 5 3 .
Therefore, in ascending order, the fractions are: 5 1 , 10 3 , 5 3 .
