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-1(60)/(100)+0.1+(1)/(4)=
Enter the answer as an exact decimal or simplified fraction.

160100+0.1+14= -1 \frac{60}{100}+0.1+\frac{1}{4}= \newlineEnter the answer as an exact decimal or simplified fraction.

Full solution

Q. 160100+0.1+14= -1 \frac{60}{100}+0.1+\frac{1}{4}= \newlineEnter the answer as an exact decimal or simplified fraction.
  1. Convert Terms to Fractions/Decimals: Convert all terms to fractions or decimals to simplify the calculation.\newline1(60)/(100)-1(60)/(100) can be simplified to 60/100-60/100.\newline0.10.1 is the same as 1/101/10 when converted to a fraction.\newline(1)/(4)(1)/(4) is already in fraction form.
  2. Simplify Fractions: Simplify the fractions.\newline60100-\frac{60}{100} can be simplified by dividing both the numerator and the denominator by 2020, which gives 35-\frac{3}{5}.\newline110\frac{1}{10} is already in simplest form.\newline14\frac{1}{4} is already in simplest form.
  3. Add Fractions with Common Denominator: Add the fractions together.\newlineTo add fractions, they need to have a common denominator. The common denominator for 55, 1010, and 44 is 2020.\newlineConvert 35-\frac{3}{5} to 1220-\frac{12}{20} by multiplying both the numerator and the denominator by 44.\newlineConvert 110\frac{1}{10} to 220\frac{2}{20} by multiplying both the numerator and the denominator by 22.\newline101000 is converted to 101011 by multiplying both the numerator and the denominator by 55.
  4. Add Converted Fractions: Add the converted fractions.\newlineNow, add 1220-\frac{12}{20}, 220\frac{2}{20}, and 520\frac{5}{20} together.\newline(1220)+(220)+(520)=12+2+520\left(-\frac{12}{20}\right) + \left(\frac{2}{20}\right) + \left(\frac{5}{20}\right) = \frac{-12 + 2 + 5}{20}\newline12+2+520=10+520\frac{-12 + 2 + 5}{20} = \frac{-10 + 5}{20}\newline10+520=520\frac{-10 + 5}{20} = -\frac{5}{20}
  5. Simplify Final Result: Simplify the result.\newline520-\frac{5}{20} can be simplified by dividing both the numerator and the denominator by 55, which gives 14-\frac{1}{4}.

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