Question
Find \( -\frac{1}{3}(3.3) \). Write in the simplest form
Ask by Bright Page. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\(-\frac{11}{10}\)
Solution
To solve -⅓(3.3), follow these steps:
1. Recognize that 3.3 can be written as the fraction 33/10.
2. Multiply: -⅓ × (33/10) = -(33)/(30).
3. Simplify the fraction by dividing numerator and denominator by 3: (33 ÷ 3)/(30 ÷ 3) = 11/10.
4. So the result is -11/10.
Thus, in simplest form, -⅓(3.3) equals -11/10.
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Simplify this solution The Deep Dive
To solve \( -\frac{1}{3}(3.3) \), first convert \( 3.3 \) into a fraction. This gives us \( 3.3 = \frac{33}{10} \). Now multiply: \[ -\frac{1}{3} \times \frac{33}{10} = -\frac{33}{30} \] Next, simplify \( -\frac{33}{30} \) by finding the greatest common divisor (GCD) of 33 and 30, which is 3: \[ -\frac{33 \div 3}{30 \div 3} = -\frac{11}{10} \] Thus, the simplest form of \( -\frac{1}{3}(3.3) \) is \( -\frac{11}{10} \).
