Can one cake be split into portions of 1/3; 3/9; and 8/15? why or why not?
no,
because 1/3 + 3/9 + 8/15 is more than the whole pie
Ddtfyyfy
To determine whether one cake can be split into portions of 1/3, 3/9, and 8/15, we need to check if these fractions are equivalent (i.e., they represent the same amount of cake). Here's how you can verify it:
1. Find a common denominator: The denominators of the fractions are 3, 9, and 15. To find a common denominator, we need to find the least common multiple (LCM) of these numbers. The LCM of 3, 9, and 15 is 45.
2. Convert the fractions to have a common denominator: Multiply the numerator and denominator of each fraction by the appropriate factor to make the denominators equal to the LCM (which is 45 in this case).
For the fractions 1/3 and 3/9:
1/3 becomes (1/3) × (15/15) = 15/45.
3/9 becomes (3/9) × (5/5) = 15/45.
Now we have the following fractions:
1/3 = 15/45,
3/9 = 15/45,
8/15.
Since the fractions 1/3, 3/9, and 8/15 are all equal to 15/45, they represent the same portion of cake. Therefore, it is possible to split one cake into portions of 1/3, 3/9, and 8/15.