To solve the expression [tex]\(1 - \frac{15}{16}\)[/tex], follow these steps:
1. Understand the basic operation: This expression requires us to subtract the fraction [tex]\(\frac{15}{16}\)[/tex] from the whole number 1.
2. Express 1 as a fraction: To subtract [tex]\(\frac{15}{16}\)[/tex] from 1, it is helpful to write 1 as a fraction with the same denominator. Since the denominator of [tex]\(\frac{15}{16}\)[/tex] is 16, we can write:
[tex]\[
1 = \frac{16}{16}
\][/tex]
3. Perform the subtraction: Now, we subtract the fractions. Since both fractions now have the same denominator, we can simply subtract the numerators:
[tex]\[
\frac{16}{16} - \frac{15}{16} = \frac{16 - 15}{16} = \frac{1}{16}
\][/tex]
4. Convert the result to a decimal: To express [tex]\(\frac{1}{16}\)[/tex] as a decimal, we divide the numerator by the denominator:
[tex]\[
\frac{1}{16} = 0.0625
\][/tex]
Thus, the result of the expression [tex]\(1 - \frac{15}{16}\)[/tex] is [tex]\(0.0625\)[/tex].
