Question

1. subtract the mixed numbers $16 - 9\frac{8}{9}$.\

\bigcirc $7\frac{8}{9}$\
\bigcirc $7\frac{1}{9}$\
\bigcirc $6\frac{1}{9}$\
\bigcirc $5\frac{1}{9}$

Explanation:

Step1: Rewrite 16 as a mixed number

To subtract a mixed number from 16, we can rewrite 16 as a mixed number with a denominator of 9. So, \(16 = 15 + 1 = 15 + \frac{9}{9}=15\frac{9}{9}\).

Step2: Subtract the mixed numbers

Now we subtract \(9\frac{8}{9}\) from \(15\frac{9}{9}\). Subtract the whole numbers and the fractions separately:
For the whole numbers: \(15 - 9 = 6\)
For the fractions: \(\frac{9}{9}-\frac{8}{9}=\frac{1}{9}\)
Combine the results: \(6+\frac{1}{9}=6\frac{1}{9}\)

Answer:

\(6\frac{1}{9}\) (corresponding to the option \(6\frac{1}{9}\))