To solve the expression [tex]\(1.9 \cdot \left(\frac{1}{4}\right)\)[/tex], follow these steps:
1. Understand the expression: We need to multiply 1.9 by the fraction [tex]\(\frac{1}{4}\)[/tex].
2. Simplify the fraction: The fraction [tex]\(\frac{1}{4}\)[/tex] is already in its simplest form.
3. Perform the multiplication: Multiply 1.9 by [tex]\(\frac{1}{4}\)[/tex]. To multiply a number by a fraction, you can think of it as multiplying the number by the numerator of the fraction and then dividing by the denominator. Here, the numerator is 1 and the denominator is 4.
- First, multiply 1.9 by 1, which gives 1.9.
- Then, divide 1.9 by 4.
4. Perform the division:
[tex]\[
1.9 \div 4 = 0.475
\][/tex]
Thus, the result of [tex]\(1.9 \cdot \left(\frac{1}{4}\right)\)[/tex] is [tex]\(0.475\)[/tex].
