What is 12 8/15−7+7/15+15
in simplest form?(1 point)
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.
To simplify the expression 12 8/15 - 7 + 7/15 + 15, we need to combine the whole numbers and fractions separately.
Step 1: Combine the whole numbers
First, add the whole numbers: 12 + 15 = 27.
Step 2: Combine the fractions
To add the fractions 8/15 and 7/15, the denominators must be the same. Since both fractions have a denominator of 15, we can add the numerators: 8 + 7 = 15.
Step 3: Combine the whole numbers and fractions
Now we have 27 as the whole number and 15/15 as the fraction. Since 15/15 is equivalent to 1 whole, we can add it to the whole number: 27 + 1 = 28.
Therefore, 12 8/15 - 7 + 7/15 + 15 in simplest form is 28.