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Find the value of the expression \newliner78r \,–\, \frac{7}{8}\newlinefor r=538r\,=\,5\,\frac{3}{8}.\newlineWrite your answer as a fraction or as a whole or mixed number.\newline_____

Full solution

Q. Find the value of the expression \newliner78r \,–\, \frac{7}{8}\newlinefor r=538r\,=\,5\,\frac{3}{8}.\newlineWrite your answer as a fraction or as a whole or mixed number.\newline_____
  1. Convert to Improper Fraction: Convert 5385\frac{3}{8} to an improper fraction. 538=(5×8+3)/8=(40+3)/8=438.5\frac{3}{8} = (5 \times 8 + 3)/8 = (40 + 3)/8 = \frac{43}{8}.
  2. Substitute in Expression: Substitute rr with 438\frac{43}{8} in the expression r78r - \frac{7}{8}. So, 43878\frac{43}{8} - \frac{7}{8}.
  3. Simplify by Subtracting: Simplify the expression by subtracting the fractions. Since the denominators are the same, subtract the numerators: 43878=(437)8=368\frac{43}{8} - \frac{7}{8} = \frac{(43 - 7)}{8} = \frac{36}{8}.

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