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A teacher divided the class into two groups of equal size. 3/5 of the first group are right-handed. 80% of the second group are right-handed.

What fraction of the class is right handed??

Respuesta :

Answer:

7/10

Step-by-step explanation:

To make things simple, let's turn 80% into a fraction, 8/10. To get a common denominator let's turn 8/10 into 4/5. Since they are both of equal size, the first group would have 2/5 left-handed people and the second 1/5 left-handed people. Let's imagine that each group has 5 people in it. There would be 10 people in total. There is 1 person for each fifth so we can add now. 4 + 3 = 7 right handed people. To check, 2 + 1 = 3 and 3 + 7 = 10. so 7/10 of the class is right-handed.

The fraction of the class is right handed is 7/10

We have given that

80% of the second group are right-handed.

let's turn 80% into a fraction,

What is the fraction form of 80%?

The fraction form of 80% can be calculated by dividing 80 by 100

So we get,

[tex]=\frac{80}{100} \\\\=\frac{8}{10}[/tex]

=8/10.

To get a common denominator let's turn

8/10 =4/5             .....(divide the numerator and denominator by 2)

Since they are both of equal size,

The first group would have 2/5 left-handed people and

The second 1/5 left-handed people.

Let's imagine that each group has 5 people in it.

There would be 10 people in total.

There is 1 person for each fifth so we can add now.

4 + 3 = 7 .....(1)

right handed people.

we can check it,

2 + 1 = 3 and 3 + 7 = 10. .........(2)

Therefore we get,

7/10 of the class is right-handed.

The fraction of the class is right handed is 7/10

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