Which lists the fractions Nine-fifths, Thirteen-eighths, and One and three-fourths in order from least to greatest?
Nine-fifths, Thirteen-eighths, One and three-fourths
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To list the fractions Nine-fifths, Thirteen-eighths, and One and three-fourths in order from least to greatest, we need to convert them to a common denominator. Let's convert them to eighths, which is the least common denominator:
Nine-fifths is equal to (9/5) * (8/8) = 72/40
Thirteen-eighths is already in the form of (13/8)
One and three-fourths is equal to (1 + 3/4) = (4/4 + 3/4) = 7/4
Now that we have all the fractions in eighths, we can compare them:
72/40, 13/8, 7/4
To compare the fractions, we can find the least common multiple (LCM) of the denominators (40, 8, 4), which is 40.
Converting the fractions to have a denominator of 40:
72/40 = (72/40) * (1/1) = 72/40
13/8 = (13/8) * (5/5) = 65/40
7/4 = (7/4) * (10/10) = 70/40
Now, let's compare the numerators to determine the order:
65/40, 70/40, 72/40
From least to greatest, the order of the fractions is:
65/40, 70/40, 72/40
Therefore, the fractions Nine-fifths, Thirteen-eighths, and One and three-fourths, in order from least to greatest, are: 65/40, 70/40, 72/40.