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-(13)/(20)-(7)/(5)= Enter the answer as an exact decimal or simplified fraction.

−1320−75= -\frac{13}{20}-\frac{7}{5}= \newlineEnter the answer as an exact decimal or simplified fraction.

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Full solution

Q. −1320−75= -\frac{13}{20}-\frac{7}{5}= \newlineEnter the answer as an exact decimal or simplified fraction.
  1. Convert to Common Denominator: Convert the fractions to have a common denominator.\newlineThe fractions −1320-\frac{13}{20} and 75\frac{7}{5} need to have the same denominator to be subtracted. The least common denominator (LCD) for 2020 and 55 is 2020.
  2. Convert to Denominator 2020: Convert (75)(\frac{7}{5}) to a fraction with a denominator of 2020.\newlineTo convert (75)(\frac{7}{5}) to a fraction with a denominator of 2020, multiply both the numerator and the denominator by 44.\newline(75)×(44)=(2820)(\frac{7}{5}) \times (\frac{4}{4}) = (\frac{28}{20})
  3. Rewrite with Common Denominator: Rewrite the subtraction with the common denominator.\newlineNow we have −1320−2820-\frac{13}{20} - \frac{28}{20}.
  4. Subtract Numerators: Subtract the numerators and keep the common denominator.\newlineSubtract the numerators of the two fractions:\newline−13−28=−41-13 - 28 = -41\newlineSo, −(13/20)−(28/20)=(−41/20)-(13/20) - (28/20) = (-41/20).
  5. Simplify Result: Simplify the result, if possible.\newlineThe fraction (−4120)(-\frac{41}{20}) is already in simplest form, so no further simplification is needed.

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