Estimate. Which sign makes the statement true? 6 ? 3/8 × 8 2/3 Choices: (A)> (B)< (C)=

Convert to Improper Fraction: Convert the mixed number 8 2/3 to an improper fraction. Calculation: $8 \times 3 + 2 = 24 + 2 = 26$, so $8 \frac{2}{3} = \frac{26}{3}$. Perform Multiplication: Perform the multiplication $3/8 \times 26/3$. Calculation: $\frac{3}{8} \times \frac{26}{3} = \frac{3 \times 26}{8 \times 3} = \frac{78}{24}$. Simplify $\frac{78}{24}$ by dividing numerator and denominator by 6, which gives $\frac{13}{4} = 3.25$. Compare Results: Compare 6 with 3.25. Since 6 is greater than 3.25, the correct inequality sign is '>'.

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Estimate. Which sign makes the statement true? $\newline$ $6 \, ? \, \frac{3}{8} \times \frac{8}{3}$ $\newline$ Choices: $\newline$ (A) > $\newline$ (B) < $\newline$ (C) $=$

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Math Problems

Grade 6

Estimate quotients when dividing mixed numbers

Full solution

Q. Estimate. Which sign makes the statement true?

\newline

6 \, ? \, \frac{3}{8} \times \frac{8}{3}

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Convert to Improper Fraction: Convert the mixed number $8$ $2$ / $3$ to an improper fraction. Calculation: $8 \times 3 + 2 = 24 + 2 = 26$ , so $8 \frac{2}{3} = \frac{26}{3}$ .
Perform Multiplication: Perform the multiplication $3/8 \times 26/3$ . Calculation: $\frac{3}{8} \times \frac{26}{3} = \frac{3 \times 26}{8 \times 3} = \frac{78}{24}$ . Simplify $\frac{78}{24}$ by dividing numerator and denominator by $6$ , which gives $\frac{13}{4} = 3.25$ .
Compare Results: Compare $6$ with $3.25$ . Since $6$ is greater than $3.25$ , the correct inequality sign is '>'.