MATH SOLVE

3 months ago

Q:
# 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?

Accepted Solution

A:

Answer: 7 9/10 gallons of paint Step-by-step explanation:Mike needs:Red paint: 4 4/5 gallons Brown paint: 3 1/10 gallonsThose are mixed fractions. To facilitate, we need to transform them into Improper fraction (numerator > denominator), so:4 4/5 = (5*4+4)/5 = 24/53 1/10 = (10*3+1) = 31/10So, Mike needs:Red paint: 4 4/5 gallons = 24/5Brown paint: 3 1/10 gallons = 31/10To 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 10So, 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