Estimate. Which sign makes the statement true? 1,5442/3 ÷ 33/5 ? 893 Choices: (A)> (B)<

Convert to Improper Fraction: Convert mixed number 1,5442/3 to an improper fraction. 1,5442/3 = 1,544 + 2/3 = (1,544 * 3 + 2)/3 = (4,632 + 2)/3 = 4,634/3 Convert to Improper Fraction: Convert 33/5 to an improper fraction, which is already in that form. Perform Division: Perform the division of the two improper fractions: (4,634/3) ÷ (33/5) = (4,634/3) * (5/33) = 23,170/99 Simplify Result: Simplify 23,170/99 by dividing both numerator and denominator by their GCD, which is 1, so 23,170/99 = 234

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Estimate. Which sign makes the statement true? $\newline$ $1,544\frac{2}{3} \div \frac{33}{5}$ $\text{?}$ $893$ $\newline$ Choices: $\newline$ (A) > $\newline$ (B) <

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Math Problems

Grade 6

Solve for a variable using properties of multiplication

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Q. Estimate. Which sign makes the statement true?

\newline

1,544\frac{2}{3} \div \frac{33}{5}

\text{?}

893

\newline

Choices:

\newline

(A)

>

\newline

(B)

<

Convert to Improper Fraction: Convert mixed number $1,544\frac{2}{3}$ to an improper fraction. $1,544\frac{2}{3} = 1,544 + \frac{2}{3} = (1,544 \times 3 + 2)/3 = (4,632 + 2)/3 = 4,634/3$
Convert to Improper Fraction: Convert $\frac{33}{5}$ to an improper fraction, which is already in that form.
Perform Division: Perform the division of the two improper fractions: $(4,634/3) \div (33/5) = (4,634/3) \times (5/33) = 23,170/99$
Simplify Result: Simplify $23,170/99$ by dividing both numerator and denominator by their GCD, which is $1$ , so $23,170/99 = 234$