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Choose the correct symbol to compare the expressions. Do not multiply.\newline7×137 \times \frac{1}{3} ? 77\newlineChoices:\newline(A) >\newline(B) <\newline(C) ==

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Full solution

Q. Choose the correct symbol to compare the expressions. Do not multiply.\newline7×137 \times \frac{1}{3} ? 77\newlineChoices:\newline(A) >>\newline(B) <<\newline(C) ==
  1. Analyze expressions: Step 11: Analyze the expressions without multiplying.\newline7×13?77 \times \frac{1}{3} ? 7\newlineWe need to compare 77 times 13\frac{1}{3} to 77.
  2. Simplify left expression: Step 22: Simplify the left expression. \newline7×13=737 \times \frac{1}{3} = \frac{7}{3}\newlineNow we compare 73\frac{7}{3} to 77.
  3. Convert to fractions: Step 33: Convert 77 to a fraction to compare.77 can be written as 213\frac{21}{3}. Now compare 73\frac{7}{3} to 213\frac{21}{3}.
  4. Compare fractions: Step 44: Compare the fractions.\newlineSince 73\frac{7}{3} is less than 213\frac{21}{3},\newline7 \times \frac{1}{3} < 7.

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