To express the mixed number [tex]\( 3 \frac{1}{8} \)[/tex] in decimal form, we'll go through the following steps:
1. Identify the Whole Number and Fractional Part:
- The mixed number is composed of a whole number and a fractional part. Here, the whole number is [tex]\( 3 \)[/tex] and the fractional part is [tex]\( \frac{1}{8} \)[/tex].
2. Convert the Fractional Part to Decimal:
- To convert [tex]\( \frac{1}{8} \)[/tex] to a decimal, we divide the numerator [tex]\( 1 \)[/tex] by the denominator [tex]\( 8 \)[/tex]. Performing this division, we get:
[tex]\[
\frac{1}{8} = 0.125
\][/tex]
3. Add the Decimal to the Whole Number:
- Now, we add the decimal value [tex]\( 0.125 \)[/tex] to the whole number [tex]\( 3 \)[/tex]:
[tex]\[
3 + 0.125 = 3.125
\][/tex]
Therefore, the mixed number [tex]\( 3 \frac{1}{8} \)[/tex] expressed in decimal form is [tex]\( 3.125 \)[/tex].
