Q. −206+1.5=Enter the answer as an exact decimal or simplified fraction.
Simplify Fraction: Simplify the fraction −206. To simplify the fraction, we find the greatest common divisor (GCD) of 6 and 20, which is 2. We then divide both the numerator and the denominator by 2. −6÷2=−320÷2=10 So, −206 simplifies to −103.
Convert Decimal to Fraction: Convert the decimal 1.5 to a fraction.1.5 can be written as 121, which is the same as 23 when converted to an improper fraction.
Add Fractions: Add the simplified fraction −103 to the fraction 23. To add these fractions, we need a common denominator. The least common denominator (LCD) for 10 and 2 is 10. We convert 23 to a fraction with a denominator of 10 by multiplying both the numerator and the denominator by 5. 23×55=1015 Now we can add −103 and 230. 231
Perform Addition: Perform the addition. (15−3)/10=12/10
Simplify Fraction: Simplify the fraction 1012. The GCD of 12 and 10 is 2. We divide both the numerator and the denominator by 2 to simplify the fraction. 12÷2=610÷2=5 So, 1012 simplifies to 56.
Convert Fraction to Decimal: Convert the simplified fraction 56 back to a decimal.6÷5=1.2
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