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Which sign makes the statement true?\newline510\frac{5}{10} ?\text{?} 710310\frac{7}{10} - \frac{3}{10}\newlineChoices:\newline(A) >\newline(B) <\newline(C) ==

Full solution

Q. Which sign makes the statement true?\newline510\frac{5}{10} ?\text{?} 710310\frac{7}{10} - \frac{3}{10}\newlineChoices:\newline(A) >>\newline(B) <<\newline(C) ==
  1. Simplify Expression: Step 11: Simplify the expression on the right side of the question mark.\newlineCalculate 710310\frac{7}{10} - \frac{3}{10}.\newline710310=410\frac{7}{10} - \frac{3}{10} = \frac{4}{10}.
  2. Reduce to Lowest Terms: Step 22: Simplify 4/104/10 to its lowest terms.\newline4/104/10 can be reduced to 2/52/5.
  3. Compare Fractions: Step 33: Compare 510\frac{5}{10} with 25\frac{2}{5}. First, convert 510\frac{5}{10} to its lowest terms, which is 12\frac{1}{2}. Now, compare 12\frac{1}{2} and 25\frac{2}{5}.
  4. Convert to Common Denominator: Step 44: Convert 12\frac{1}{2} and 25\frac{2}{5} to a common denominator to compare.\newlineCommon denominator of 22 and 55 is 1010.\newline12=510\frac{1}{2} = \frac{5}{10} and 25=410\frac{2}{5} = \frac{4}{10}.
  5. Compare Fractions: Step 55: Compare 510\frac{5}{10} and 410\frac{4}{10}.\newlineSince 510\frac{5}{10} is greater than 410\frac{4}{10}, the correct sign is '>'.