Mr. Rivas bought a can of paint.. he used 3/8 of it to paint a bookshelf. He used 1/4 of it to paint a wagon. He used some of it to paint a birdhouse and has 1/8 of the paint left. How much paint did he used for the birdhouse?

3/8
1/4 becomes 2/8 to be equal so he used up 2/8
3/8 + 2/8 = 5/8 + 1/8 = 6/8 + (insert birdhouse here) 8/8 / 1
3/8 - 2/8 = 1/8 - 1/8 = 0/8 + (insert birdhouse here) 2/8

Answer Link

Evadin2019 Evadin2019 · Answer 2 · 2019-10-07T22:10:17-04:00

Mr. Rivas used \(\frac{2}{8}\) of the paint for the birdhouse.

Further Explanation

Given:

Paint used for bookshelf = \(\frac{3}{8}\)

Paint used for a wagon = \(\frac{1}{4}\)

Paint used for a birdhouse = x

amount of paint left = \(\frac{1}{8}\)

Question:

How much paint did he use for the birdhouse?

Total paint Mr Rivas bought is 1 can of paint, so we can write the equation as below:

\(\boxed {\frac{3}{8} + \frac{1}{4} + \frac{1}{8} + x = 1 }\\\)

Because those fractions has different denominator, so we need to find the common denominator for 4 and 8, and that would be 8. So, the equation will be:

\(\boxed {\frac{3}{8} + \frac{2}{8} + \frac{1}{8} + x = 1 }\\\boxed {\frac{6}{8} + x = 1 }\\\boxed {x = 1 - \frac{6}{8} = \frac{8}{8}- \frac{6}{8} = \frac{2}{8} }\)

So, Mr. Rivas used \(\frac{2}{8}\) of the paint for the birdhouse.

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Keywords: fraction additional, fraction subtraction, part to whole relationship, mixed fraction