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Estimate. Which sign makes the statement true? $\newline$ $3 \, ? \, \frac{3}{5} \times 9\frac{2}{3}$ $\newline$ Choices: $\newline$ (A) > $\newline$ (B) < $\newline$ (C) $=$

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Estimate products of fractions and whole numbers

Full solution

Q. Estimate. Which sign makes the statement true?

\newline

3 \, ? \, \frac{3}{5} \times 9\frac{2}{3}

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Convert to Improper Fraction: Convert mixed number $9 \frac{2}{3}$ to an improper fraction: $\newline$ $9 \frac{2}{3} = (9 \times 3 + 2)/3 = \frac{29}{3}$
Calculate Multiplication: Calculate $\frac{3}{5} \times \frac{29}{3}$ : $\left(\frac{3}{5}\right) \times \left(\frac{29}{3}\right) = \frac{3 \times 29}{5 \times 3} = \frac{87}{15}$
Simplify Fraction: Simplify $\frac{87}{15}$ : $\frac{87}{15} = 5.8$
Compare Results: Compare $3$ with $5.8$ : Since $3$ is less than $5.8$ , the correct sign is <.

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\newline

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