What is 12 8/15 − 7 + 7/15 + 15 in simplest form?
We need to perform the operations in the given expression according to the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction) to simplify the expression.
First, let's convert the mixed number 12 8/15 to an improper fraction. To do this, multiply the whole number (12) by the denominator (15) and add the numerator (8):
12 * 15 + 8 = 180 + 8 = 188.
Now, the expression is:
188/15 - 7 + 7/15 + 15.
Next, let's find a common denominator for the fractions. The common denominator is 15:
188/15 - 7 + 7/15 + 15/1.
Now we can add the fractions:
(188 + 7 + 7) / 15 + 15/1.
Simplifying further:
202 / 15 + 15/1.
The fractions have a common denominator, so we can add them:
(202 + 225) / 15.
Simplifying the numerator:
427 / 15.
Therefore, the expression 12 8/15 − 7 + 7/15 + 15 simplified to its simplest form is 427/15.
wrong
Apologies for the error in my previous response. Let's correct it again.
To simplify 12 8/15 − 7 + 7/15 + 15, we can first convert the mixed number 12 8/15 into an improper fraction.
12 * 15 = 180
180 + 8 = 188
So, 12 8/15 as an improper fraction is 188/15.
Now, we rewrite the expression with the improper fraction:
188/15 − 7 + 7/15 + 15.
Next, we need to find a common denominator for the fractions. The common denominator is 15:
(188 - 7) / 15 + 7/15 + 15/1.
Simplifying the numerator:
181 / 15 + 7/15 + 15/1.
Now, we can add the fractions:
(181 + 7 + 225) / 15.
Simplifying the numerator:
413 / 15.
Therefore, the expression 12 8/15 − 7 + 7/15 + 15 simplified to its simplest form is 413/15.
..wrong again
Apologies for the repeated errors. To simplify the expression 12 8/15 − 7 + 7/15 + 15 in simplest form, we can proceed as follows:
First, let's convert the mixed number 12 8/15 into an improper fraction:
12 * 15 + 8 = 180 + 8 = 188
188/15
Next, we can find a common denominator for all the fractions involved, which is 15:
188/15 − 7 + 7/15 + 15/1
Now, we can add the fractions:
(188 + 7 + 7) / 15 + 15/1
Simplifying further:
(202 + 7)/15 + 15/1
Adding the numerators:
209/15 + 15/1
To add these fractions, we need a common denominator, which is 15:
(209 + 15) / 15
Adding the numerators:
224/15
Therefore, the expression 12 8/15 − 7 + 7/15 + 15 simplifies to 224/15 in its simplest form.
What is 12 8/15 − 7 + 7/15 + 15 in simplest form?
41 15/15
21
20 15/15
35
To simplify the expression 12 8/15 − 7 + 7/15 + 15, we can start by converting the whole number and the mixed number into fractions with the same denominator.
12 = 12/1
12 8/15 = (12 * 15 + 8)/15 = 188/15
So, the expression becomes:
188/15 - 7 + 7/15 + 15
Next, let's find a common denominator, which is 15.
188/15 - 7 = 188/15 - (7 * 15)/15 = 188/15 - 105/15 = (188 - 105)/15 = 83/15
Now the expression is:
83/15 + 7/15 + 15/1
To add the fractions, we need a common denominator, which is 15.
83/15 + 7/15 = (83 + 7)/15 = 90/15
Now the expression is:
90/15 + 15/1
To add these two fractions, we need a common denominator, which is 15.
90/15 + 15/1 = (90 + 15)/15 = 105/15
Now we can simplify the fraction:
105/15 = (7 * 15)/(3 * 5) = 105/15 = 7/1 = 7
Therefore, the simplest form of the expression 12 8/15 − 7 + 7/15 + 15 is 7.
What is 12 8/15 − 7 + 7/15 + 15 in simplest form?
Answers: 41 15/15, 21, 20 15/15, 35
Apologies for the confusion in my previous responses. To simplify the expression 12 8/15 − 7 + 7/15 + 15, we can proceed as follows:
First, convert the mixed number 12 8/15 into an improper fraction:
12 * 15 + 8 = 180 + 8 = 188
188/15
Now, rewrite the expression using the improper fraction:
188/15 − 7 + 7/15 + 15
Next, find a common denominator for the fractions, which is 15:
(188/15) − (7 * 15/15) + (7/15) + (15/15)
Simplify further:
188/15 - 105/15 + 7/15 + 15/15
Now, add the fractions:
(188 - 105 + 7 + 15) / 15
Simplifying the numerator:
105 + 7 + 15 + 15 = 142
Therefore, the expression 12 8/15 − 7 + 7/15 + 15 simplifies to 142/15.
To express this as a mixed number in simplest form, divide the numerator (142) by the denominator (15):
142 ÷ 15 = 9 remainder 7
So, in simplest form, the expression is 9 7/15.
What is 12 8/15 − 7 + 7/15 + 15 in simplest form?
Answers:
41 15/15
21
20 15/15
35