What is 128/15 − 7 + 7/15 + 15
To simplify the expression 128/15 − 7 + 7/15 + 15, we first find a common denominator for the fractions:
128/15 − 7 + 7/15 + 15 = (128 + 7 + 7*15) / 15
Applying the order of operations (parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right), we solve the expression within the brackets:
= (128 + 7 + 7*15) / 15
= (128 + 7 + 105) / 15
= 240 / 15
= 16
Therefore, 128/15 − 7 + 7/15 + 15 simplifies to 16.
To simplify the expression 128/15 - 7 + 7/15 + 15, we can follow these steps:
Step 1: Find a common denominator for the fractions.
The common denominator for 15 and 15 is 15.
Step 2: Convert the mixed numbers to improper fractions.
128/15 - 7 + 7/15 + 15 can be written as (128/15) - (7*15/15) + (7/15) + 15.
Step 3: Perform the subtraction inside the brackets.
The expression becomes (128/15) - (105/15) + (7/15) + 15.
Step 4: Combine the fractions with the same denominators.
The expression can be rewritten as (128 - 105 + 7)/15 + 15.
Step 5: Perform the addition/subtraction for the numerator.
The numerator simplifies to 30/15 + 15.
Step 6: Simplify the fractions.
The fraction 30/15 can be reduced to 2.
Step 7: Combine the fraction and whole number.
The expression becomes 2 + 15.
Step 8: Perform the addition.
2 + 15 = 17.
Therefore, 128/15 - 7 + 7/15 + 15 simplifies to 17.