Question
Find \( \frac{4}{5}(-4.75) \). Write in the simplest form
Ask by Adkins Wyatt. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplest form of \( \frac{4}{5} \times (-4.75) \) is \( -\frac{19}{5} \).
Solution
To solve (4/5) × (–4.75), start by expressing 4.75 as a fraction:
4.75 = 19/4
Now substitute into the expression:
(4/5) × (–19/4)
Multiply the fractions:
= (4 × –19) / (5 × 4)
= –76/20
Reduce the fraction by dividing numerator and denominator by 4:
= (–76 ÷ 4) / (20 ÷ 4)
= –19/5
Thus, the simplest form of (4/5)(–4.75) is –19/5.
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Simplify this solution The Deep Dive
To find \( \frac{4}{5}(-4.75) \), you can first convert -4.75 to a fraction. -4.75 is the same as \( -\frac{19}{4} \). Now, multiply: \[ \frac{4}{5} \times -\frac{19}{4} \] The 4s in the numerator and denominator cancel out: \[ =\frac{4 \cdot (-19)}{5 \cdot 1} = \frac{-76}{5} \] So, the answer is \( -\frac{76}{5} \). Now, this is an improper fraction, which is perfectly fine, but you can convert it to a mixed number for simplicity: \(-\frac{76}{5} = -15 \frac{1}{5}\) Thus, the simplest form of the answer is \( -\frac{76}{5} \) or \( -15 \frac{1}{5} \).
