To find the decimal equivalent of the product of the mixed fractions \( 1 \frac{1}{2} \) and \( 2 \frac{3}{4} \), we can follow these steps:
1. Convert each mixed fraction to an improper fraction:
- For \( 1 \frac{1}{2} \):
[tex]\[
1 \frac{1}{2} = 1 + \frac{1}{2} = \frac{2}{2} + \frac{1}{2} = \frac{3}{2}
\][/tex]
- For \( 2 \frac{3}{4} \):
[tex]\[
2 \frac{3}{4} = 2 + \frac{3}{4} = \frac{8}{4} + \frac{3}{4} = \frac{11}{4}
\][/tex]
2. Convert the improper fractions to decimals:
- \(\frac{3}{2} = 1.5\)
- \(\frac{11}{4} = 2.75\)
3. Calculate the product of the decimal numbers:
[tex]\[
1.5 \times 2.75 = 4.125
\][/tex]
4. Round the result to 1 decimal place:
[tex]\[
4.125 \text{ rounded to 1 decimal place is } 4.1
\][/tex]
Therefore, the product of [tex]\( 1 \frac{1}{2} \)[/tex] and [tex]\( 2 \frac{3}{4} \)[/tex], expressed in decimal form and rounded to 1 decimal place, is [tex]\( 4.1 \)[/tex].
