Estimate. Which sign makes the statement true? 1,6421/3 ÷ 63/4 ? 542 Choices: (A)> (B)<

Convert to Improper Fraction: Convert mixed number 1,642 1/3 to an improper fraction: 1,642 1/3 = (1,642 * 3 + 1)/3 = (4,926 + 1)/3 = 4,927/3.Perform Division of Fractions: Perform the division of the fractions: (4,927/3) ÷ (63/4) = (4,927/3) * (4/63) = 19,708/189.Simplify Fraction: Simplify 19,708/189: 19,708 ÷ 189 = 104.3 (approximately).Compare to 542: Compare 104.3 to 542: 104.3 is less than 542.

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Estimate. Which sign makes the statement true? $\newline$ $1,642\frac{1}{3} \div \frac{63}{4}$ $\text{?}$ $542$ $\newline$ Choices: $\newline$ (A) > $\newline$ (B) <

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Math Problems

Grade 6

Estimate quotients when dividing mixed numbers

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Q. Estimate. Which sign makes the statement true?

\newline

1,642\frac{1}{3} \div \frac{63}{4}

\text{?}

542

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

Convert to Improper Fraction: Convert mixed number $1,642 \frac{1}{3}$ to an improper fraction: $\newline$ $1,642 \frac{1}{3} = (1,642 \times 3 + 1)/3 = (4,926 + 1)/3 = \frac{4,927}{3}$ .
Perform Division of Fractions: Perform the division of the fractions: $\newline$ $(4,927/3) \div (63/4) = (4,927/3) \times (4/63) = 19,708/189$ .
Simplify Fraction: Simplify $19,708/189$ : $19,708 \div 189 = 104.3$ (approximately).
Compare to $542$ : Compare $104.3$ to $542$ : $104.3$ is less than $542$ .