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-(45)/(40)+1.875= Enter the answer as an exact decimal or simplified fraction.

−4540+1.875= -\frac{45}{40}+1.875= \newlineEnter the answer as an exact decimal or simplified fraction.

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Full solution

Q. −4540+1.875= -\frac{45}{40}+1.875= \newlineEnter the answer as an exact decimal or simplified fraction.
  1. Simplify Fraction: First, simplify the fraction 4540 \frac{45}{40} by dividing both the numerator and the denominator by their greatest common divisor, which is 55.\newline45÷540÷5=98 \frac{45 \div 5}{40 \div 5} = \frac{9}{8}
  2. Convert Decimal to Fraction: Next, convert the decimal 11.875875 to a fraction. Since 11.875875 is equivalent to 18751000 \frac{1875}{1000} , we can simplify this fraction by dividing both the numerator and the denominator by 125125.\newline1875÷1251000÷125=158 \frac{1875 \div 125}{1000 \div 125} = \frac{15}{8}
  3. Perform Addition of Fractions: Now, we need to perform the operation -98 \frac{9}{8} + 158 \frac{15}{8} . Since both fractions have the same denominator, we can simply subtract the numerators.\newline−98+158=158−98=68 -\frac{9}{8} + \frac{15}{8} = \frac{15}{8} - \frac{9}{8} = \frac{6}{8}
  4. Simplify Final Fraction: Finally, simplify the fraction 68 \frac{6}{8} by dividing both the numerator and the denominator by their greatest common divisor, which is 22.\newline6÷28÷2=34 \frac{6 \div 2}{8 \div 2} = \frac{3}{4}

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