Alright, let’s break it down step by step:
First, you need to solve for:
[tex]\[ 1.9 \cdot \left(\frac{1}{4}\right) \][/tex]
When you multiply a decimal by a fraction, you can think of it as multiplying the decimal by the numerator (top part of the fraction) and then dividing the result by the denominator (bottom part of the fraction).
1.9 is equivalent to the fraction [tex]\(\frac{19}{10}\)[/tex]. Therefore, we have:
[tex]\[ 1.9 \cdot \frac{1}{4} = \frac{19}{10} \cdot \frac{1}{4} \][/tex]
To multiply these two fractions, multiply the numerators together and the denominators together:
[tex]\[ \frac{19 \cdot 1}{10 \cdot 4} = \frac{19}{40} \][/tex]
Hence, the result of [tex]\( 1.9 \cdot \left(\frac{1}{4}\right) \)[/tex] as a fraction is:
[tex]\[ \boxed{\frac{19}{40}} \][/tex]
