Mario is painting his walls. He needs a total of 5 2/3 gallons of paint for the job. He has 3 3/4 gallons of paint. How much more paint does he need?
A. 2 5/6 gallons
B. 9 1/12 gallons
C. 2 1/12 gallons
D. 1 11/12 gallons
D. 1 11/12 gallons.
He is short by 5 2/3 - 3 3/4
= 17/3 - 15/4 gallons
= 23/12 gallons
= about 1.9 gallons
I would say he needs 2 gallons
To find out how much more paint Mario needs, we need to subtract the amount he already has from the total amount required.
Total amount required = 5 2/3 gallons
Amount Mario has = 3 3/4 gallons
To subtract fractions, we need to have a common denominator. Let's convert the mixed numbers to improper fractions.
Total amount required = 17/3 gallons
Amount Mario has = 15/4 gallons
Now, subtract the amount Mario has from the total amount required:
17/3 - 15/4
To find a common denominator, we can multiply the denominator of the first fraction by the denominator of the second fraction (3 * 4 = 12).
(17/3) * (4/4) - (15/4) * (3/3)
= 68/12 - 45/12
= (68 - 45)/12
= 23/12
So, Mario needs an additional 23/12 gallons of paint.
Simplifying the fraction, we have:
23/12 = 1 11/12
Therefore, Mario needs an additional 1 11/12 gallons of paint.
The correct answer is D. 1 11/12 gallons.
To find out how much more paint Mario needs, you need to subtract the amount of paint he already has from the total amount he needs.
First, let's convert the mixed numbers to improper fractions:
- 5 2/3 gallons = (3 * 5 + 2)/3 = 17/3 gallons
- 3 3/4 gallons = (4 * 3 + 3)/4 = 15/4 gallons
Next, subtract the amount of paint Mario has from the total amount he needs:
17/3 - 15/4
To solve this, you need to find a common denominator for the fractions. In this case, the common denominator is 12.
Converting the fractions to have a denominator of 12:
17/3 * 4/4 = 68/12
15/4 * 3/3 = 45/12
Now, subtract the fractions:
68/12 - 45/12 = 23/12
Since the result is an improper fraction, you can convert it to a mixed number:
23/12 = 1 11/12 gallons
Therefore, Mario needs an additional 1 11/12 gallons of paint.
The correct answer is:
D. 1 11/12 gallons