Finn's snow cone stand went through 9 1/2 bags of ice in the first hour it was open and 9 7/12 bags of ice the second hour. How much ice did it use during those two hours?Write your answer as a fraction or as a whole or mixed number.
Question
Finn's snow cone stand went through 9 1/2 bags of ice in the first hour it was open and 9 7/12 bags of ice the second hour. How much ice did it use during those two hours?Write your answer as a fraction or as a whole or mixed number.
Solution
To solve this problem, we need to add the two amounts of ice together.
First, let's convert the mixed numbers to improper fractions.
For 9 1/2: Multiply the whole number (9) by the denominator of the fraction (2) and add the numerator of the fraction (1). This gives us 18 + 1 = 19. So, 9 1/2 is equivalent to 19/2 as an improper fraction.
For 9 7/12: Multiply the whole number (9) by the denominator of the fraction (12) and add the numerator of the fraction (7). This gives us 108 + 7 = 115. So, 9 7/12 is equivalent to 115/12 as an improper fraction.
Now, let's add these two fractions together.
To add fractions, we need a common denominator. The least common multiple of 2 and 12 is 12.
So, we convert 19/2 to a fraction with 12 as the denominator. We do this by multiplying both the numerator and the denominator by 6, which gives us 114/12.
Now we can add the two fractions: 114/12 + 115/12 = 229/12.
Finally, we convert this improper fraction back to a mixed number. We divide the numerator by the denominator: 229 ÷ 12 = 19 remainder 1.
So, the mixed number is 19 1/12.
Therefore, Finn's snow cone stand used 19 1/12 bags of ice during the first two hours it was open.
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