Question

Giselda wants to paint her room. She found 3/5 gal of yellow paint, 2/3 gal of blue paint, and 1/2 gal of green paint. Order the amounts of paint from least to greatest

Answer 1

9

Explanation:

Answer 2

1/2 gal, 3/5 gal and 2/3 gal.

Explanation:

Given the amounts of different colors of paints:

Amount of yellow paint = 3/5 gal.

Amount of blue paint = 2/3 gal and

Amount of green paint = 1/2 gal.

We need to order 3/5 gal, 2/3 gal and 1/2 gal from least to greatest.

In order to arrange them from least to greatest, we need to find the least common denominator of 3/5, 2/3 and 1/2.

We have 5, 3 and 2 in denominators.

Least common multiple of 5, 3 and 2 is = 5×3×2= 30.

Let us covert each denominator as 30.

Multiplying first fraction 3/5 by 6 in top and bottom, we get

`(3)/(5) = (3*6)/(5*6)=(18)/(30)`

Multiplying first fraction 2/3 by 10 in top and bottom, we get

`(2)/(3) = (2*10)/(3*10)=(20)/(30)`

Multiplying first fraction 1/2 by 15 in top and bottom, we get

`(1)/(2) = (1*15)/(2*15)=(15)/(30)`.

Now, we can check
`(18)/(30), (20)/(30) \ and \ (15)/(30).`

`(15)/(30)` is the smallest,
`(18)/(30)` is greater and
`(20)/(30)` is the greatest.

Therefore, we can arrange fractions
`(15)/(30)`,
`(18)/(30)` and
`(20)/(30)`.

Writing original fractions in place of equivalent fractions, we can write

1/2, 3/5 and 2/3.

Therefore, the order the amounts of paint from least to greatest is:

1/2 gal, 3/5 gal and 2/3 gal.