Peter's daughter wanted to decorate her room with her favourite colour, yellow. Peter had 18 2/3 cans of yellow paint stored in the garage. He used 8 1/3 cans to paint his daughter's room. How much yellow paint did Peter have left?Write your answer as a fraction or as a whole or mixed number.
Question
Peter's daughter wanted to decorate her room with her favourite colour, yellow. Peter had 18 2/3 cans of yellow paint stored in the garage. He used 8 1/3 cans to paint his daughter's room. How much yellow paint did Peter have left?Write your answer as a fraction or as a whole or mixed number.
Solution
To solve this problem, we need to subtract the amount of paint Peter used from the amount he had initially.
Peter initially had 18 2/3 cans of paint. To make it easier to subtract, let's convert this mixed number to an improper fraction.
The whole number 18 is equal to 18 * 3/3 = 54/3. Adding this to the fraction 2/3 gives us 56/3. So, 18 2/3 = 56/3.
Peter used 8 1/3 cans of paint. We'll also convert this to an improper fraction.
The whole number 8 is equal to 8 * 3/3 = 24/3. Adding this to the fraction 1/3 gives us 25/3. So, 8 1/3 = 25/3.
Now we subtract the amount of paint used from the initial amount:
56/3 - 25/3 = 31/3.
To convert this back to a mixed number, we divide the numerator by the denominator: 31 ÷ 3 = 10 R1.
So, Peter has 10 1/3 cans of yellow paint left.
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