Answer:
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."
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First change each number into a improper fraction:
1 1/8 = 9/8
1 1/9 = 10/9
7/8 = 7/8
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"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.
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"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.
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"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.
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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.
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Hope I helped, Have a nice day!
-Aadi x
