In a classroom there are 6/3 graders students and 10/6 graders students express the ratio of third graders to the entry number of students as a fraction

1 answer

To find the ratio of third graders to the whole number of students in the class, we need to add the number of third graders and sixth graders together.

The number of third graders is 6/3 = 2 (since 6 divided by 3 equals 2).
The number of sixth graders is 10/6 (since 10 divided by 6 equals 1 and a remainder of 4, or 1 and 4/6).

To find the least common multiple of 3 and 6, we can see that 6 is already a multiple of 3. Therefore, the least common multiple is 6.

Multiplying the numerator and denominator of the third graders' fraction by 2 gives us 4/6 instead of 2/6.
So, the number of third graders is 4/6 when expressed with the same denominator as the number of sixth graders.

Adding the number of third graders and sixth graders together gives us 4/6 + 10/6 = (4 + 10)/6 = 14/6.

Therefore, the ratio of third graders to the total number of students is 14/6.