Answer:
1/14
Explanation:
Step 1: Determine how much of the circle is taken up by the the 3/7 part and the 1/2 part:
- Since this circle is divided into fractional parts, we can assume the entire circle is 1.
- We can determine how much of the circle is taken up by both the 3/7 part and the 1/2 part by adding two fractions.
Step 2: Determine the least common denominator (LCD):
- The least common denominator (LCD) is the lowest common multiple of two or more fractions.
- Finding the least common denominator (LCD) allows us to add the numerators, since we'll have the same denominator.
We can find the least common denominator by multiplying 7 and 2:
LCD = 7 * 2
LCD = 14
Thus, we want to convert both 3/7 and 1/2 to fractions whose denominators are 14.
Step 3: Make 3/7 and 1/2 fractions whose denominators are 14 and add the fractions:
Making 3/7 a fraction whose denominator is 14:
To make 3/7 a fraction whose denominator is 14, we multiply the numerator and denominator by 2:
(3/7) * (2/2) = 6/14
Making 1/2 a fraction whose denominator is 14:
To make 1/2 a fraction whose denominator is 14, we multiply the numerator and denominator by 7:
(1/2) * (7/7) = 7/14
Now we add 6/14 and 7/14:
6/14 + 7/14 = 13/14.
Step 4: Subtract 13/14 from 1 to find the shaded part:
- Now we can find the shaded part by subtracting 13/14 from 1.
- We can reimagine 1 as 1/1, which means that the LCD of 13/14 and 1/1 is 14.
Now we can convert 1/1 to a fraction out of 14 by multiplying the numerator and denominator by 14:
14/14 - 13/14
1/14
Thus, 1/14 of the circle is shaded.