Which shows these unit fractions in order from least to greatest?
Select one:
a. 1/12, 1/7, 1/10
b. 1/7, 1/12, 1/10
c. 1/10, 1/12, 1/7
d. 1/12, 1/10, 1/7
Has to start with 1/12
Has to end with 1/7
Or you could say
Lcm=10×12×7=840
(1/12)of 840=70
(1/7) of 840=120
(1/10)of 840=84
70,84,120=1/12,1/10,1/7
To order the unit fractions from least to greatest, we can compare the denominators.
The fractions given are: 1/12, 1/7, 1/10
Comparing the fractions, we can see that 1/12 has the smallest denominator of 12, followed by 1/10 with a denominator of 10, and 1/7 with the largest denominator of 7.
So, the unit fractions in order from least to greatest are:
a. 1/12, 1/7, 1/10
To order these unit fractions from least to greatest, we need to compare the numerators and the denominators. The fraction with the smallest denominator will be the least, and the fraction with the largest denominator will be the greatest.
In this case, we have the unit fractions: 1/12, 1/7, and 1/10.
Let's compare the denominators first:
- The fraction 1/12 has the smallest denominator of 12.
- The fraction 1/7 has the largest denominator of 7.
- The fraction 1/10 has a denominator of 10, which is between 7 and 12.
Now, since the fractions have different denominators, we cannot directly compare them by looking at their fractions. To do that, we can find a common denominator. In this case, the least common denominator (LCD) is 12.
Now we need to convert each fraction to have a denominator of 12:
- To convert 1/12 to have a denominator of 12, we simply multiply the numerator and denominator by 12. This gives us 1/12 = 1/12.
- To convert 1/7 to have a denominator of 12, we multiply the numerator and denominator by 12/7. This gives us (1 * 12)/(7 * 1) = 12/7.
- To convert 1/10 to have a denominator of 12, we multiply the numerator and denominator by 12/10. This gives us (1 * 12)/(10 * 1) = 12/10.
Now that we have the fractions with a common denominator, we can compare their numerators:
- The fraction 1/12 has a numerator of 1.
- The fraction 12/7 has a numerator of 12.
- The fraction 12/10 has a numerator of 12.
As we can see, 1 < 12 < 12.
Therefore, the correct order of the fractions from least to greatest is:
a. 1/12, 1/7, 1/10