write 1/2, 3/4, 2/3, 0.95 from least to greatest

1/2, 2/3, 3/4, 0.95

Right!

To arrange the given fractions from least to greatest, we can convert them into a common denominator and compare their numerators.

Let's find the least common denominator (LCD) for the fractions 1/2, 3/4, and 2/3.

The LCD is the smallest multiple that two or more denominators share. In this case, the denominators are 2, 4, and 3.

To find the LCD, we can list the multiples of each denominator until we find a common multiple:

Multiples of 2: 2, 4, 6, 8, 10, ...
Multiples of 4: 4, 8, 12, 16, ...
Multiples of 3: 3, 6, 9, 12, ...

From the multiples listed above, we can see that the least common multiple is 12. So, we will convert each fraction to a denominator of 12:

1/2 = 6/12 (multiply both numerator and denominator by 6)
3/4 = 9/12 (multiply both numerator and denominator by 3)
2/3 = 8/12 (multiply both numerator and denominator by 4)
0.95 stays the same

Now that we have a common denominator, we can compare the numerators:

6/12, 9/12, 8/12, 0.95

Comparing the numerators, we can arrange the fractions and the decimal from least to greatest:

6/12 < 8/12 < 9/12 < 0.95

Therefore, the arrangement from least to greatest is:

6/12, 8/12, 9/12, 0.95