Estimate. Which sign makes the statement true? 5 ? 2/9 × 8 2/3 Choices: (A)> (B)< (C)=

Convert to Improper Fraction: Convert mixed number 8 2/3 to an improper fraction: 8 2/3 = (8 × 3 + 2)/3 = 26/3 Perform Multiplication: Perform the multiplication 2/9 × 26/3: (2/9) × (26/3) = (2 × 26) / (9 × 3) = 52/27 Compare Decimals: Compare 5 with 52/27: Convert 52/27 to a decimal for easier comparison, 52 ÷ 27 ≈ 1.93. Now, compare 5 and 1.93. Since 5 > 1.93, the correct sign is '>'.

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Estimate. Which sign makes the statement true? $\newline$ $5 \, ? \, \frac{2}{9} \times 8\frac{2}{3}$ $\newline$ Choices: $\newline$ (A) > $\newline$ (B) < $\newline$ (C) $=$

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Math Problems

Grade 6

Estimate products of fractions and whole numbers

Full solution

Q. Estimate. Which sign makes the statement true?

\newline

5 \, ? \, \frac{2}{9} \times 8\frac{2}{3}

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Convert to Improper Fraction: Convert mixed number $8 \frac{2}{3}$ to an improper fraction: $\newline$ $8 \frac{2}{3} = (8 \times 3 + 2)/3 = \frac{26}{3}$
Perform Multiplication: Perform the multiplication $\frac{2}{9} \times \frac{26}{3}$ : $\left(\frac{2}{9}\right) \times \left(\frac{26}{3}\right) = \frac{2 \times 26}{9 \times 3} = \frac{52}{27}$
Compare Decimals: Compare $5$ with $\frac{52}{27}$ : $\newline$ Convert $\frac{52}{27}$ to a decimal for easier comparison, $52 \div 27 \approx 1.93$ . $\newline$ Now, compare $5$ and $1.93$ . Since 5 > 1.93, the correct sign is '>'.