Put the fractions in order from smallest to largest 3/5 1/8 5/10
Change all of them to equivalent fractions with a common denominator of 40.
Common denominator
To order fractions from smallest to largest, you need to compare the values of the fractions. One way to do this is by finding a common denominator and then comparing the numerators. Here's how you can work through this:
Step 1: Find a common denominator:
In this case, a common denominator for these fractions is 40. To find this, you need to identify the least common multiple (LCM) of the denominators, which are 5, 8, and 10. The LCM of these three numbers is 40.
Step 2: Convert the fractions to have the common denominator:
To convert 3/5 to have the denominator of 40, multiply the numerator and denominator by 8:
(3/5) * (8/8) = 24/40
To convert 1/8 to have the denominator of 40, multiply the numerator and denominator by 5:
(1/8) * (5/5) = 5/40
To convert 5/10 to have the denominator of 40, multiply the numerator and denominator by 4:
(5/10) * (4/4) = 20/40
Now we have the fractions as 24/40, 5/40, and 20/40.
Step 3: Compare the numerators:
The numerators of the fractions are 24, 5, and 20.
The fractions in order from smallest to largest are: 5/40, 20/40, 24/40.
However, we can simplify these fractions by dividing the numerator and denominator by their greatest common divisor, which is 5.
Dividing 5/40 by 5 gives 1/8.
Dividing 20/40 by 5 gives 4/8 or 1/2.
Dividing 24/40 by 5 gives 4/8 or 1/2.
So, the simplified fractions in order from smallest to largest are: 1/8, 1/2, 1/2.