Estimate. Which sign makes the statement true? 5 ? 1/4 × 7 8/9 Choices: (A)> (B)< (C)=

Convert to Improper Fraction: Step 1: Convert the mixed number to an improper fraction for easier multiplication. 7 8/9 = (7 × 9 + 8) / 9 = 71/9Multiply Fractions: Step 2: Multiply the fractions. 1/4 × 71/9 = 71 / 36Compare Values: Step 3: Compare the value of 5 with 71/36. 5 is approximately 5/1, which is 180/36 when converted to have the same denominator as 71/36.Determine Correct Sign: Step 4: Since 180/36 is greater than 71/36, the correct sign is '>'.

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Estimate. Which sign makes the statement true? $\newline$ $5 \, ? \, \frac{1}{4} \times \frac{79}{9}$ $\newline$ Choices: $\newline$ (A) > $\newline$ (B) < $\newline$ (C) $=$

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Math Problems

Grade 6

Estimate products of fractions and whole numbers

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Q. Estimate. Which sign makes the statement true?

\newline

5 \, ? \, \frac{1}{4} \times \frac{79}{9}

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

\newline

(C)

=

Convert to Improper Fraction: Step $1$ : Convert the mixed number to an improper fraction for easier multiplication. $\newline$ $7 \frac{8}{9} = (7 \times 9 + 8) / 9 = \frac{71}{9}$
Multiply Fractions: Step $2$ : Multiply the fractions. $\newline$ $\frac{1}{4} \times \frac{71}{9} = \frac{71}{36}$
Compare Values: Step $3$ : Compare the value of $5$ with $\frac{71}{36}$ . $5$ is approximately $\frac{5}{1}$ , which is $\frac{180}{36}$ when converted to have the same denominator as $\frac{71}{36}$ .
Determine Correct Sign: Step $4$ : Since $\frac{180}{36}$ is greater than $\frac{71}{36}$ , the correct sign is '>'.