An analog clock can serve as a visual reference for twelfths. At 1 o'clock the hands mark off 1/12 of a circle at 2 o'clock the hands mark off 2/12 of a circle and so on. How many twelfths are in each of these fractions of a circle?
1/2, 1/4, 1/3, 1/6
You need to convert all the denominators into 12:
1/2 = 6/12
1/4 = 3/12
1/3 = 4/12
1/6 = 2/12
Thank you
You're welcome!
To determine how many twelfths are in each of these fractions of a circle, we need to understand the relationship between the fraction and the number of twelfths.
The fraction 1/2 represents one out of two equal parts. Since we are considering twelfths, we need to convert the fraction to twelfths. To do this, we multiply the numerator and denominator by 6 (the least common multiple of 2 and 12):
1/2 * 6/6 = 6/12
Therefore, there are 6 twelfths in the fraction 1/2.
Similarly, for the fraction 1/4, we multiply the numerator and denominator by 3 (the least common multiple of 4 and 12):
1/4 * 3/3 = 3/12
So, there are 3 twelfths in the fraction 1/4.
For the fraction 1/3, we multiply the numerator and denominator by 4 (the least common multiple of 3 and 12):
1/3 * 4/4 = 4/12
Therefore, there are 4 twelfths in the fraction 1/3.
Finally, for the fraction 1/6, we multiply the numerator and denominator by 2 (the least common multiple of 6 and 12):
1/6 * 2/2 = 2/12
So, there are 2 twelfths in the fraction 1/6.
In summary:
- 1/2 is equivalent to 6/12, so there are 6 twelfths.
- 1/4 is equivalent to 3/12, so there are 3 twelfths.
- 1/3 is equivalent to 4/12, so there are 4 twelfths.
- 1/6 is equivalent to 2/12, so there are 2 twelfths.