Alex is solving 7 1/10 - 1 6/10. What is the correct result? (1 point)

Answer 1

To solve \( 7 \frac{1}{10} - 1 \frac{6}{10} \), we first convert the mixed numbers into improper fractions.

1. Convert \( 7 \frac{1}{10} \): \[ 7 \frac{1}{10} = 7 \times 10 + 1 = 70 + 1 = 71 \quad \Rightarrow \quad \frac{71}{10} \]

2. Convert \( 1 \frac{6}{10} \): \[ 1 \frac{6}{10} = 1 \times 10 + 6 = 10 + 6 = 16 \quad \Rightarrow \quad \frac{16}{10} \]

Now, we can perform the subtraction using the improper fractions: \[ \frac{71}{10} - \frac{16}{10} = \frac{71 - 16}{10} = \frac{55}{10} \]

Next, we simplify \( \frac{55}{10} \): \[ \frac{55}{10} = \frac{11}{2} = 5 \frac{1}{2} \]

Thus, the result of \( 7 \frac{1}{10} - 1 \frac{6}{10} \) is: \[ \boxed{5 \frac{1}{2}} \]