What is 17 4/9+5/9 - 8 - 10?

1 answer

To solve the expression 17 4/9 + 5/9 - 8 - 10, first convert the mixed number to an improper fraction:

17 4/9 = (9 * 17 + 4)/9 = 153/9

Now, we can rewrite the expression:

153/9 + 5/9 - 8 - 10

Combine the fractions with the same denominator:

(153 + 5)/9 - 8 - 10 = 158/9 - 8 - 10

Now, we can subtract:

158/9 - 8/1 - 10/1

To perform subtraction with fractions, we need a common denominator:

The least common multiple of 9 and 1 is 9, so we rewrite the fractions with a denominator of 9:

158/9 - (8/1 * 9/9) - (10/1 * 9/9)

158/9 - 72/9 - 90/9

Now, we can subtract the numerators:

(158 - 72 - 90)/9

Combine like terms:

(-4)/9

The result is -4/9.