Cindy has two fourths of a circle and three tenths of a circle. What does she need to make a whole circle?
2/4 + 3/10 = 10/20 + 6/20 = 16/20
20/20 - 16/20 = 4/20 = 1/5
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10/20
8/10
To find out what Cindy needs to make a whole circle, we need to determine how much of a circle is still missing.
One whole circle can be divided into 1 equal part or 100 out of 100 parts.
Cindy currently has two fourths of a circle, which can also be expressed as 2/4. To find a common denominator, we can convert 2/4 to an equivalent fraction with the same denominator as 100.
To do this, we multiply both the numerator and denominator of 2/4 by 25, which gives us (2 × 25) / (4 × 25) = 50/100.
Cindy also has three tenths of a circle, which can be expressed as 3/10. However, since our common denominator is already 100, we don't need to convert this fraction.
Now, let's add the fractions: 50/100 + 3/10 = (50 + 30) / 100 = 80/100.
So, Cindy currently has 80 out of 100 parts of a circle.
To determine what she needs to make a whole circle, we subtract 80/100 from 100/100 as follows:
100/100 - 80/100 = (100 - 80) / 100 = 20/100.
Therefore, Cindy needs 20 out of 100 parts to make a whole circle, or in other words, she needs 1/5 of a circle to complete it.