are the fractions 3/9 3/10 3/11 and 3/12 arranged in order from least to greatest or from greatest to least? explain
Greatest to Smallest
in 3/9, 3/10, 3/11, 3/12 ,
the numerator is a constant 3 while the denominators increase by 1.
That causes the values of the fractions to become smaller as the denominator increases.
Answer:
\(\frac{3}{12}, \frac{3}{11}, \frac{3}{10}, \frac{3}{9}\) in ascending order.
Step-by-step explanation:
To arrange fractions from the least to the greatest, that is, in ascending order, there are two approaches. The first is to convert each fraction to a decimal number.
Given the fractions below
\(\frac{3}{9} , \frac{3}{10}, \frac{3}{11}, \frac{3}{12}\)
\(\frac{3}{9} =0.33\\\frac{3}{10}=0.3\\ \frac{3}{11}=0.27\\ \frac{3}{12}=0.25\)
Arranged in ascending order, we have:
0.25, 0.27, 0.3, 0.33 which translates to:
\(\frac{3}{12}, \frac{3}{11}, \frac{3}{10}, \frac{3}{9}\) in ascending order.
Another approach
Since the numerators are the same, the higher the denominator, the lower the number.