put these fractions in order least to greatest 3/4,4/5,7/8,and 3/10
Change these fractions to equivalent fractions with a common denominator of 40.
To put these fractions in order from least to greatest, we need to compare their values. One way to do this is by finding a common denominator for all the fractions.
Let's find the least common denominator (LCD) for the fractions 3/4, 4/5, 7/8, and 3/10.
The least common multiple (LCM) of 4, 5, 8, and 10 is 40. Therefore, we can use 40 as our LCD.
Now, let's convert each fraction so they all have a denominator of 40:
3/4 becomes (3/4) * (10/10) = 30/40
4/5 becomes (4/5) * (8/8) = 32/40
7/8 remains unchanged as its denominator is already 8
3/10 becomes (3/10) * (4/4) = 12/40
Now we have:
30/40, 32/40, 7/8, and 12/40.
To compare them, we can line them up:
7/8, 12/40, 30/40, 32/40.
Finally, we can simplify the fractions and rearrange them in order from least to greatest:
12/40 = 3/10
30/40 = 3/4
32/40 = 4/5
So, the fractions in order from least to greatest are: 3/10, 3/4, 4/5, and 7/8.