Mark wants to paint a mural. He has 1
1
3
gallons of yellow paint, 1
1
4
gallons of green paint, and
7
8
gallon of blue paint. Mark plans to use
3
4
gallon of each paint color. How many gallons of paint will he have left after painting the mural?
Here's your question -- retyped with normal fractions:
Mark wants to paint a mural. He has 1 1/3 gallons of yellow paint, 1 1/4 gallons of green paint, and 7/8 gallon of blue paint. Mark plans to use 3/4 gallon of each paint color. How many gallons of paint will he have left after painting the mural?
1 5/24
To find out how many gallons of paint Mark will have left after painting the mural, we need to subtract the total amount of paint used from the total amount of paint Mark has.
First, let's calculate the total amount of paint Mark has:
1 gallon of yellow paint + 1 gallon of green paint + 7/8 gallon of blue paint
To add fractions, the denominators need to be the same. So, we need to convert the 1 gallon of yellow paint and 1 gallon of green paint to eighths (common denominator):
1 gallon = 8/8 gallon
Now, let's calculate the total amount of paint Mark has:
8/8 gallon of yellow paint + 8/8 gallon of green paint + 7/8 gallon of blue paint
Combining the fractions:
(8/8 + 8/8 + 7/8) gallon of paint
Adding the numerators and keeping the denominator the same:
(23/8) gallon of paint
Now, let's calculate the total amount of paint used for the mural:
3/4 gallon of each paint color
Since all the paint colors are used in the same amount, we can multiply the amount used by the number of colors:
3/4 gallon x 3 colors
Multiplying the numerators and denominators separately:
(3 x 3)/(4 x 1) gallon
Simplifying the fraction:
9/4 gallon of paint
Now, let's calculate the amount of paint Mark will have left after painting the mural:
Total amount of paint - Total amount of paint used
(23/8) gallon - (9/4) gallon
To subtract fractions, the denominators need to be the same. So, we need to convert 23/8 gallon to fourths (common denominator):
23/8 gallon = 23/8 x 2/2 = 46/16 gallon
Subtracting the numerators and keeping the denominator the same:
(46/16 - 9/4) gallon
To subtract fractions, the denominators are the same, so we subtract the numerators:
(46 - 36)/16 gallon
Simplifying the numerator:
10/16 gallon
We can reduce the fraction by dividing the numerator and denominator by their greatest common divisor (GCD), which is 2:
(10/2)/(16/2) gallon = 5/8 gallon
Therefore, Mark will have 5/8 gallon of paint left after painting the mural.