To convert the mixed number [tex]\( 4 \frac{9}{10} \)[/tex] to a decimal, follow these steps:
1. Identify the whole number part of the mixed number, which is [tex]\( 4 \)[/tex].
2. Identify the fractional part of the mixed number, which is [tex]\( \frac{9}{10} \)[/tex].
Next, convert the fractional part to a decimal:
3. Divide the numerator by the denominator: [tex]\( \frac{9}{10} = 0.9 \)[/tex].
Now, combine the whole number part with the decimal value of the fractional part:
4. Add the whole number [tex]\( 4 \)[/tex] to the decimal [tex]\( 0.9 \)[/tex]:
[tex]\[
4 + 0.9 = 4.9
\][/tex]
Hence, [tex]\( 4 \frac{9}{10} \)[/tex] expressed as a decimal is [tex]\( 4.9 \)[/tex].
