Question

Hair color is an inherited trait. In Marci's family, her mother has brown hair. Her father has blonde hair. The family has 6 children in all. Of the children 6 children,1/3 of them have blonde hair,1/6 of them have red hair, and 1/2 of them have brown hair. In simplest form, what fraction of the children has red or brown hair?

Answer 1

The fraction of children with red or brown hair in Marci's family is 2/3.

Step-by-step explanation:

To determine the fraction of children that have red or brown hair, we can add the fractions of children that have red hair and brown hair. From the given information, we know that 1/6 of the children have red hair and 1/2 of the children have brown hair. To find a common denominator, we can multiply the fractions by the same number. Multiplying 1/6 by 3, we get 3/18. Multiplying 1/2 by 9, we get 9/18. Adding the two fractions together, we get a total of 12/18. However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 6. After simplifying, we find that the fraction of children with red or brown hair is 2/3.

Answer 2

the number of children has red or brown hair is
`(2)/(3)`.

Step-by-step explanation:

We have been given that in Marci's family there are total 6 children.

Out of 6 children

Number of children have blonde hair =
`(1)/(3)`

Number of children have red hair =
`(1)/(6)`

Number of children have brown hair =
`(1)/(2)`

Since, we have to find the fraction of children has red or brown hair=
`(1)/(6)+(1)/(2)=(4)/(6)=(2)/(3)`

Hence, the number of children has red or brown hair is
`(2)/(3)`