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Alex is solving 7 and 5/10 − 1 and 6/10

. What is the correct result? (1 point)

1 answer

To solve \( 7 \frac{5}{10} - 1 \frac{6}{10} \), we can start by converting the mixed numbers into improper fractions:

  1. Convert \( 7 \frac{5}{10} \): \[ 7 \frac{5}{10} = 7 + \frac{5}{10} = \frac{70}{10} + \frac{5}{10} = \frac{75}{10} \]

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

Now, we can subtract the two improper fractions: \[ \frac{75}{10} - \frac{16}{10} = \frac{75 - 16}{10} = \frac{59}{10} \]

Finally, we can convert \( \frac{59}{10} \) back into a mixed number: \[ \frac{59}{10} = 5 \frac{9}{10} \]

So, the result of \( 7 \frac{5}{10} - 1 \frac{6}{10} \) is \( 5 \frac{9}{10} \).