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Evaluate the expression shown below and write your answer as a fraction in simplest form. -(9)/(8)+(3)/(20) Answer:

Evaluate the expression shown below and write your answer as a fraction in simplest form.\newline−98+320 -\frac{9}{8}+\frac{3}{20} \newlineAnswer:

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Full solution

Q. Evaluate the expression shown below and write your answer as a fraction in simplest form.\newline−98+320 -\frac{9}{8}+\frac{3}{20} \newlineAnswer:
  1. Find LCM: To add or subtract fractions, they must have a common denominator. Let's find the least common multiple (LCM) of 88 and 2020 to use as the common denominator.\newlineLCM of 88 and 2020 is 4040.
  2. Convert to Common Denominator: Now, convert each fraction to an equivalent fraction with a denominator of 4040.\newlineFor 98 \frac{9}{8} , multiply the numerator and denominator by 55 to get 4540 \frac{45}{40} .\newlineFor 320 \frac{3}{20} , multiply the numerator and denominator by 22 to get 640 \frac{6}{40} .
  3. Subtract Fractions: Subtract the two fractions with the common denominator.\newline−4540+640=−45−640=−3940 -\frac{45}{40} + \frac{6}{40} = -\frac{45 - 6}{40} = -\frac{39}{40} .
  4. Simplify Result: The fraction −3940 -\frac{39}{40} is already in its simplest form because 3939 and 4040 have no common factors other than 11.

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