What is 12 8/15−7+7/15+15

Question

in simplest form?(1 point)

Answer 1

To solve this equation, we need to perform the operations in the correct order (parentheses, exponents, multiplication and division, and addition and subtraction).

12 8/15 − 7 + 7/15 + 15

First, we can simplify the mixed number by multiplying the whole number by the denominator and adding the numerator:

12 8/15 = (12 * 15 + 8)/15 = 188/15

Now, we can substitute this value back into the original equation:

188/15 − 7 + 7/15 + 15

Next, we need to find a common denominator for the fractions to combine them:

188/15 − 7/1 + 7/15 + 15/1

Since the denominators are 15 and 1, the common denominator is 15. We can rewrite the whole numbers with a denominator of 1 to make them into fractions:

188/15 − 105/15 + 7/15 + 15/1

Now, we can combine the fractions:

(188 − 105 + 7)/15 + 15/1

188 − 105 + 7 = 90

So, the equation becomes:

90/15 + 15/1

Dividing 90 by 15, we get:

6/1 + 15/1

Combining the fractions, we get:

(6 + 15)/1 = 21/1 = 21

Therefore, 12 8/15 − 7 + 7/15 + 15 in simplest form is 21.