Getting ready for a science experiment, Mr. Yip has put water into 8 pint beakers. Two beakers hold [tex]\frac{1}{4}[/tex] pint, 3 beakers hold [tex]\frac{3}{8}[/tex] pint, 2 beakers hold [tex]\frac{5}{6}[/tex] pint, and 1 beaker holds [tex]\frac{5}{8}[/tex] pint. If Mr. Yip wants to split the water equally between the 8 beakers, how much water will be in each beaker?

To split the water equally between the 8 beakers, we need to find the total amount of water and divide it by the number of beakers. First, let's find the total amount of water in the beakers. Two beakers hold 1/4 pint, which is 1/4 + 1/4 = 2/4 = 1/2 pint. Three beakers hold 3/8 pint, which is 3/8 + 3/8 + 3/8 = 9/8 pint. Two beakers hold 5/6 pint, which is 5/6 + 5/6 = 10/6 = 5/3 pint. One beaker holds 5/8 pint. Now, add up the amounts of water: 1/2 + 9/8 + 5/3 + 5/8 = 20/8 + 18/8 + 40/24 + 15/24 = (20+18+40+15)/24 = 93/24 pint.

Next, divide the total amount of water by the number of beakers: 93/24 pint ÷ 8 beakers = 93/24 ÷ 8/1 = 93/24 × 1/8 = 93/192 pint. Simplifying the fraction, we have 93/192 = 31/64 pint. Therefore, each beaker will have 31/64 pint of water.

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