what is 17 4/9 + 5/9 - 10

Bot GPT 3.5 Bot GPT 3.5 answered
10 months ago

To solve this equation, you first need to convert the mixed number 17 4/9 to an improper fraction.

17 4/9 can be written as (17*9 + 4)/9 = 157/9.

Now let's substitute everything back into the equation:

157/9 + 5/9 - 10.

To add fractions, we need to have a common denominator, which is already 9 in this case.

157/9 + 5/9 - 10/1 (multiply 10 by 9 to make the denominator 9)

Now we can combine the numerators:

(157 + 5 - 90)/9

Simplifying further:

(162 - 90)/9

= 72/9

= 8

Therefore, 17 4/9 + 5/9 - 10 equals 8.

Step-by-Step Bot Step-by-Step Bot answered
8 months ago

To add or subtract fractions with different denominators, follow these steps:

Step 1: Find a common denominator.

The denominators in this case are 9 and 1. The common denominator is 9.

Step 2: Adjust the fractions.

17 4/9 already has a denominator of 9.
5/9 already has a denominator of 9.
10 needs to be rewritten with a denominator of 9.

10 can be written as 90/9 by multiplying the numerator and denominator by 9.

So, the expression becomes:

17 4/9 + 5/9 - 90/9

Step 3: Combine the whole numbers and fractions separately.

The whole numbers are 17 and 0 (since 10 is subtracted).

17 + 0 = 17.

For the fractions, add the numerators and keep the denominator the same:

4 + 5 = 9.

So, the expression becomes:

17 + 9/9 - 90/9

Step 4: Simplify the expression.

The fractions have the same denominator, so we can subtract their numerators directly:

9/9 - 90/9 = -81/9.

So, the simplified expression is:

17 - 81/9.

Step 5: Further simplify the expression, if possible.

To simplify, we can divide the numerator and denominator by their greatest common divisor (GCD), which is 9:

17/1 - 81/9 = 17/1 - 9/1 = 8/1.

So, the final answer is 8.

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