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Ana drinks horchata out of glasses that each hold
(1)/(8) of a liter. She has
(7)/(10) of a liter of horchata in her refrigerator.
How many glasses of horchata can she pour?
glasses

Ana drinks horchata out of glasses that each hold $\frac{1}{8}$ of a liter. She has $\frac{7}{10}$ of a liter of horchata in her refrigerator. $\newline$ How many glasses of horchata can she pour? $\newline$ glasses

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Divide numbers ending in zeros: word problems

Full solution

Q. Ana drinks horchata out of glasses that each hold

\frac{1}{8}

of a liter. She has

\frac{7}{10}

of a liter of horchata in her refrigerator.

\newline

How many glasses of horchata can she pour?

\newline

glasses

Identify total horchata amount: Identify the total amount of horchata and the amount each glass can hold. $\newline$ Total amount of horchata available: $(7)/(10)$ liter $\newline$ Amount of horchata each glass can hold: $(1)/(8)$ liter $\newline$ To find out how many glasses Ana can pour, we need to divide the total amount of horchata by the amount each glass can hold.
Calculate number of glasses: Perform the division to find the number of glasses. $\newline$ Number of glasses = Total amount of horchata $\div$ Amount per glass $\newline$ Number of glasses = $\frac{7}{10}$ $\div$ $\frac{1}{8}$ $\newline$ To divide by a fraction, we multiply by its reciprocal. $\newline$ Number of glasses = $\frac{7}{10}$ $\times$ $\frac{8}{1}$
Multiply numerators and denominators: Multiply the numerators and denominators. $\newline$ Number of glasses = $(7 \times 8) / (10 \times 1)$ $\newline$ Number of glasses = $56 / 10$
Simplify fraction to find whole glasses: Simplify the fraction to find the number of whole glasses. $\newline$ Number of glasses = $5$ with a remainder of $\frac{6}{10}$ or $0.6$ , which is not enough to fill another whole glass. $\newline$ So, Ana can pour $5$ whole glasses of horchata.

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