1/2 + 2/5

Answer 1

To add 1/2 and 2/5, we need to find a common denominator. The smallest number that both 2 and 5 can divide into is 10.

1/2 = 5/10
2/5 = 4/10

Now we can add the fractions:

5/10 + 4/10 = 9/10

Therefore, 1/2 + 2/5 = 9/10.

Answer 2

The partial table below shows the fraction of fish in Kathy's tank of different types.
Type of fish Fraction of total
Tetras
1
6
6
1
​
start fraction, 1, divided by, 6, end fraction
Guppies
2
5
5
2
​
start fraction, 2, divided by, 5, end fraction
Goldfish
1
4
4
1
​
start fraction, 1, divided by, 4, end fraction
…
…dots
…
…dots
What fraction of Kathy's fish are either tetras or guppies?
of the fish

Answer 3

To find the fraction of Kathy's fish that are either tetras or guppies, we need to add the fractions for each type of fish and then simplify.

Fraction of tetras: 1/6 + 1/6 = 2/6 = 1/3
Fraction of guppies: 2/5 + 2/5 = 4/5

To combine these fractions, we need to find a common denominator. The smallest number that both 3 and 5 can divide into is 15.

Fraction of tetras: 5/15
Fraction of guppies: 12/15

Now we can add the fractions:

5/15 + 12/15 = 17/15

This fraction is greater than 1, which means it needs to be simplified. We can divide the numerator and the denominator by the greatest common factor, which is 1.

17/15 = 1 and 2/15

Therefore, the fraction of Kathy's fish that are either tetras or guppies is 1 and 2/15.