Mark wants to paint a mural. He has 1 1/8 gallons of yellow paint, 1 1/9 gallons of green paint, and 7/8 gallons of blue paint. Mark plans to use 3/4 a gallon of each paint color. How many gallons of paint will he have left after painting the mural? Enter your answer as a simplified fraction.

We have 31/36 gallons of paint left after painting the mural.

Step-by-step explanation:

"Mark wants to paint a mural. He has 1 1/8 gallons of yellow paint, 1 1/9 gallons of green paint, and 7/8 gallons of blue paint. Mark plans to use 3/4 a gallon of each paint color. How many gallons of paint will he have left after painting the mural? Enter your answer as a simplified fraction."

First change each number into a improper fraction:

1 1/8 = 9/8

1 1/9 = 10/9

7/8 = 7/8

"If Mark has 9/8 gallons of yellow paint, and he uses 3/4 gallons"

  -We have to multiply 3/4 by 2/2 to make the denominators same.

3/4 × 2/2 = 6/8

Now subtract 6/8 from 9/8.

9/8 - 6/8 = 3/8

We will have 3/8 gallons of yellow paint.

"If Mark uses 10/9 gallons of green paint, and he uses 3/4 gallons"

     - We have to multiply 10/9 by 4/4, and 3/4 by 9/9, to get a common denominator.

10/9 × 4/4 = 40/36

3/4 × 9/9 = 27/36

Now subtract 27/36 from 40/36

40/36 - 27/36 = 13/36

We will have 13/36 gallons of green paint.

"If Mark uses 7/8 gallons of blue paint, and he uses 3/4 gallons"

        -We have to multiply 3/4  by 2/2 to get a common denominator.

3/4 × 2/2 = 6/8

Now subtract 6/8 from 7/8.

7/8 - 6/8 = 1/8

We will have 1/8 gallons of yellow paint.

Now, we will add the leftover amounts of paint to find the answer.

3/8 + 13/36 + 1/8

Add "like terms".

4/8 + 13/36

Simplify 4/8 into 1/2

1/2 + 13/ 36

Multiply 1/2 by 18/18 to get a common denominator.

1/2 × 18/18 = 18/36

Substitute 18/36 as 1/2 in the expression.

18/36 + 13/36 = 31/36

So, We have 31/36 gallons of paint left after painting the mural.

Hope I helped, Have a nice day!

              -Aadi x

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.