There is a circle that is cut in three slices one slice is (in fractions) 1/3 and one slice is 1/5. What fraction is the other slice. (it is a whole circle.)
Can you please tell me how to I can figure this out on my own.
1/3 + 1/5
= 5/15 + 3/15
= 8/15
wouldn't that leave 7/15 for the third slice ?
But how did you figure it out like that.
1/2 + 1/5 = 8/15, (see above)
the whole circle is 1 or 15/15
15/15 - 8/15 = 7/15
To find the fraction of the other slice, you can start by determining the combined fraction of the two known slices (1/3 and 1/5) in relation to the whole circle.
First, remember that the whole circle represents a complete unit, which can be expressed as 1/1 or simply 1.
To determine the combined fraction, find the least common multiple (LCM) of the denominators (3 and 5) which is 15. Since we want to express the fractions with common denominators, we need to transform the fractions accordingly.
For the 1/3 slice:
Multiply the numerator and denominator by 5 to obtain a denominator of 15:
1/3 = (1 * 5) / (3 * 5) = 5/15
For the 1/5 slice:
Multiply the numerator and denominator by 3 to obtain a denominator of 15:
1/5 = (1 * 3) / (5 * 3) = 3/15
Now, add the fractions together to find the combined fraction:
5/15 + 3/15 = 8/15
Finally, to find the fraction of the other slice, subtract the combined fraction from the whole:
1 - 8/15 = 15/15 - 8/15 = 7/15
Therefore, the fraction of the other slice is 7/15.