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Evaluate the expression shown below and write your answer as a fraction in simplest form. (7)/(10)-(1)/(8) Answer:

Evaluate the expression shown below and write your answer as a fraction in simplest form.\newline710−18 \frac{7}{10}-\frac{1}{8} \newlineAnswer:

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Full solution

Q. Evaluate the expression shown below and write your answer as a fraction in simplest form.\newline710−18 \frac{7}{10}-\frac{1}{8} \newlineAnswer:
  1. Find common denominator: Find a common denominator for the fractions (710)(\frac{7}{10}) and (18)(\frac{1}{8}). The least common multiple (LCM) of 1010 and 88 is 4040, so we will use 4040 as the common denominator.
  2. Convert to equivalent fractions: Convert each fraction to an equivalent fraction with a denominator of 4040. For (710)(\frac{7}{10}), we multiply the numerator and denominator by 44 to get (7×410×4)=2840(\frac{7\times 4}{10\times 4}) = \frac{28}{40}. For (18)(\frac{1}{8}), we multiply the numerator and denominator by 55 to get (1×58×5)=540(\frac{1\times 5}{8\times 5}) = \frac{5}{40}.
  3. Subtract equivalent fractions: Subtract the two equivalent fractions.\newline(2840)−(540)=28−540=2340(\frac{28}{40}) - (\frac{5}{40}) = \frac{28 - 5}{40} = \frac{23}{40}.

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