Order the following fractions and decimals in ascending order. NR 3.4
2.72, 2 3/4, 2.27 , 2.3 , 2 7/10
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1 point
2.72, 2 3/4, 2.27 , 2.3 , 2 7/10
2 ¾, 2.73, 2 7/10, 2.3, 2.27
2.27, 2.3, 2 7/10, 2.73, 2 3/4
2.72, 2 7/10, 2 ¾, 2.3, 2.27
2.27, 2.3, 2 7/10, 2.72, 2 3/4
To order the fractions and decimals in ascending order, we need to compare them and arrange them from smallest to largest.
The given numbers are: 2.72, 2 3/4, 2.27, 2.3, and 2 7/10.
Let's convert mixed numbers into decimals:
2 3/4 = 2 + 3/4 = 2 + 0.75 = 2.75
2 7/10 = 2 + 7/10 = 2 + 0.7 = 2.7
Now, we can order the numbers in ascending order:
2.27, 2.3, 2.7, 2.72, 2.75
So, the correct order is:
2.27, 2.3, 2.7, 2.72, 2 3/4
To order the fractions and decimals in ascending order, we need to convert any mixed numbers (fractions with whole numbers) into improper fractions and convert any decimals into fractions.
Let's start by converting the mixed numbers into improper fractions:
2 3/4 = (2 * 4 + 3) / 4 = 11/4
2 7/10 = (2 * 10 + 7) / 10 = 27/10
Now we have the following fractions and decimals:
2.72, 11/4, 2.27, 2.3, 27/10
Next, let's convert decimals into fractions:
2.72 = 2 72/100 = 2 18/25 (simplifying the fraction)
2.27 = 2 27/100 = 2 27/100
2.3 = 2 3/10
Now we have the following fractions:
2 18/25, 11/4, 2 27/100, 2 3/10, 27/10
To compare the fractions, we need to find a common denominator. The least common multiple of 25, 4, and 10 is 100.
Now we can convert the fractions with different denominators to have a common denominator of 100:
2 18/25 = (2 * 25 + 18) / 25 = 68/25
11/4 = 275/100
2 27/100 = (2 * 100 + 27) / 100 = 227/100
2 3/10 = (2 * 10 + 3) / 10 = 23/10
27/10 = 270/100
Now we have the following fractions with a common denominator:
68/25, 275/100, 227/100, 23/10, 270/100
To order these fractions in ascending order, we can compare them:
23/10 < 68/25 < 227/100 < 270/100 < 275/100
Finally, let's convert the fractions back into mixed numbers:
23/10 = 2 3/10
68/25 = 2 18/25
227/100 = 2 27/100
270/100 = 2 7/10
275/100 = 2 3/4
So, the fractions and decimals in ascending order are:
2.3, 2 3/10, 2.27, 2 7/10, 2 3/4
Therefore, the correct answer is 2.3, 2 3/10, 2.27, 2 7/10, 2 3/4.