Estimate. Which sign makes the statement true? 564/5 ÷ 105/9 ? 10 Choices: (A)> (B)<

Convert to multiplication: Convert the division of fractions to multiplication by the reciprocal. Simplify fractions: Simplify the multiplication of fractions. Calculate numerator and denominator: Calculate the numerator and the denominator separately. Divide by greatest common divisor: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 21. Convert to decimal: Convert the fraction to a decimal to compare it with 10. Compare with 10: Compare the decimal result with 10 to determine the correct inequality sign.

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Estimate. Which sign makes the statement true? $\newline$ $\frac{564}{5} \div \frac{105}{9} \; ? \; 10$ $\newline$ 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

\frac{564}{5} \div \frac{105}{9} \; ? \; 10

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

Convert to multiplication: Convert the division of fractions to multiplication by the reciprocal.
Simplify fractions: Simplify the multiplication of fractions.
Calculate numerator and denominator: Calculate the numerator and the denominator separately.
Divide by greatest common divisor: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is $21$ .
Convert to decimal: Convert the fraction to a decimal to compare it with $10$ .
Compare with $10$ : Compare the decimal result with $10$ to determine the correct inequality sign.