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?

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:

24 + 31 = 48 + 31 = 79

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