Tomas was able to fill 6(2)/(3) equal-sized buckets with a total of 33(1)/(3) liters of paint. How much paint was in each whole bucket? ◻ liters

Calculate buckets and paint: We have 6(2/3) buckets and 33(1/3) liters of paint. To find the amount of paint per bucket, we divide the total paint by the number of buckets.Convert fractions to improper: First, convert 6(2/3) to an improper fraction: (6 * 3 + 2)/3 = (18 + 2)/3 = 20/3 buckets.Divide total paint by buckets: Now, convert 33(1/3) to an improper fraction: (33 * 3 + 1)/3 = (99 + 1)/3 = 100/3 liters.Simplify multiplication: Next, divide the total liters of paint by the number of buckets: (100/3) ÷ (20/3) = (100/3) * (3/20).Calculate amount per bucket: Simplify the multiplication: (100/3) * (3/20) = 100 * 3 / 3 * 20 = 100/20.Finally, divide 100 by 20 to get the amount of paint per bucket: 100/20 = 5 liters per bucket.

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Tomas was able to fill 6(2)/(3) equal-sized buckets with a total of 33(1)/(3) liters of paint.
How much paint was in each whole bucket?

◻ liters

Tomas was able to fill $6\frac{2}{3}$ equal-sized buckets with a total of $33\frac{1}{3}$ liters of paint. $\newline$ How much paint was in each whole bucket? $\newline$ $\square$ liters

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Grade 7

Divide decimals by whole numbers: word problems

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Q. Tomas was able to fill

6\frac{2}{3}

equal-sized buckets with a total of

33\frac{1}{3}

liters of paint.

\newline

How much paint was in each whole bucket?

\newline

\square

liters

Calculate buckets and paint: We have $6\left(\frac{2}{3}\right)$ buckets and $33\left(\frac{1}{3}\right)$ liters of paint. To find the amount of paint per bucket, we divide the total paint by the number of buckets.
Convert fractions to improper: First, convert $6\left(\frac{2}{3}\right)$ to an improper fraction: $\left(6 \times 3 + 2\right)/3 = \left(18 + 2\right)/3 = \frac{20}{3}$ buckets.
Divide total paint by buckets: Now, convert $33\left(\frac{1}{3}\right)$ to an improper fraction: $\left(33 \times 3 + 1\right)/3 = \left(99 + 1\right)/3 = \frac{100}{3}$ liters.
Simplify multiplication: Next, divide the total liters of paint by the number of buckets: $(100/3) \div (20/3) = (100/3) \times (3/20)$ .
Calculate amount per bucket: Simplify the multiplication: $(\frac{100}{3}) \times (\frac{3}{20}) = \frac{100 \times 3}{3 \times 20} = \frac{100}{20}$ .
Calculate amount per bucket: Simplify the multiplication: $(100/3) \times (3/20) = 100 \times 3 / 3 \times 20 = 100/20$ .Finally, divide $100$ by $20$ to get the amount of paint per bucket: $100/20 = 5$ liters per bucket.