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Archy [21]
3 years ago
9

Mike wants to paint his new office with two different colors. If he needs 4 4/5 gallons of red paint and 3 1/10 gallons of brown

paint, how much paint does he need in total?
Mathematics
1 answer:
dexar [7]3 years ago
5 0

Answer: 7 9/10 gallons of paint  

Step-by-step explanation:

Mike needs:

Red paint: 4 4/5 gallons

Brown paint: 3 1/10 gallons

Those are mixed fractions. To facilitate, we need to transform them into Improper fraction (numerator > denominator), so:

4 4/5 = (5*4+4)/5 = 24/5

3 1/10 = (10*3+1) = 31/10

So, Mike needs:

Red paint: 4 4/5 gallons = 24/5

Brown paint: 3 1/10 gallons = 31/10

To find out how much gallons of paint he needs in total, we need to sum the amounts of red and brown paint:

<u>24</u> + <u>31</u> =<u> 48 + 31 </u>= <u>79</u>

5     10        10        10

So, he needs 79/10 gallons of paint. To transform into mixed fraction again:

79/10 = 70/10 + 9/10 = 7 + 9/10

7 9/10 gallons of paint  

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