Susan must pour 6 1/2 bottles of juice into 26 drink glasses for her party.if each glass gets the same amount of juice, what fraction of a bottle will each glass hold?
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To find out what fraction of a bottle each glass will hold, we need to divide the total amount of juice (6 1/2 bottles) by the number of glasses (26).
First, let's convert 6 1/2 bottles into an improper fraction. Since there are 2 halves in 1 whole, we have 6 bottles + (1/2) bottle = 12/2 bottles + 1/2 bottle = 13/2 bottles.
Next, we divide the total amount of juice (13/2 bottles) by the number of glasses (26):
13/2 ÷ 26
To divide fractions, we multiply by the reciprocal of the divisor:
13/2 × 1/26
Now, simplify the expression by canceling out any common factors between the numerator and denominator:
(13/2) × (1/26) = 13/52
Therefore, each glass will hold 13/52 of a bottle of juice.