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Problem

triple the quotient of 2 1/4 and 5/8

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(297 votes)

Calculus teacher - Tutor for 6 years

To triple the quotient of \(2 \frac{1}{4}\) and \(\frac{5}{8}\), you first need to find the quotient of these two numbers, and then multiply that quotient by 3.

\(2 \frac{1}{4}\) and \(\frac{5}{8}\)

Fraction: $\frac{54}{5}$

Decimal:$10.8$

**Step 1**：Let's start by converting $2 \frac{1}{4}$ to an improper fraction:

$2 \frac{1}{4} = \frac{9}{4}$

**Step 2**：Now, you want to find the quotient of $\frac{9}{4}$ and $\frac{5}{8}$:

$\frac{9}{4} \div \frac{5}{8} = \frac{9}{4} \times \frac{8}{5} = \frac{9 \times 8}{4 \times 5} = \frac{72}{20}$

**Step 3**：Now, to triple this quotient, you will multiply it by 3:

$3 \times \frac{72}{20} = \frac{216}{20}$

Finally, simplify the fraction:

$\frac{216}{20} = \frac{108}{10} = \frac{54}{5}=10.8$

Therefore, tripling the quotient of $2 \frac{1}{4}$ and $\frac{5}{8}$ results in $\frac{54}{5}$.

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