What is 12 8/15 − 7 + 7/15 + 15 ? Simplify your answer.
To solve this expression, we first have to add the whole numbers and the fractions separately.
12 + 15 = 27.
Next, we add the fractions:
8/15 + 7/15 = 15/15 = 1.
Finally, we combine the whole number and the fraction:
27 + 1 = 28.
So, 12 8/15 − 7 + 7/15 + 15 simplifies to 28.
To calculate 12 8/15 − 7 + 7/15 + 15, follow these steps:
Step 1: Convert 12 and 15 to a common denominator of 15:
12 = 12/1 = 180/15
15 = 15/1
Step 2: Rewrite the expression using the common denominator:
180/15 + 8/15 - 7 + 7/15 + 15
Step 3: Combine the numerators over the common denominator:
(180 + 8 - 7 + 7 + 15)/15
Step 4: Simplify the numerator:
(180 + 15 + 15)/15
Step 5: Add the numerators:
(210)/15
Step 6: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 15:
210 ÷ 15 = 14
Therefore, 12 8/15 − 7 + 7/15 + 15 simplifies to 14.