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
To simplify the expression 12 8/15 − 7 + 7/15 + 15 in simplest form, we can follow these steps:
First, convert the mixed number 12 8/15 to 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 * 15/15)
Simplify further:
188/15 - 105/15 + 7/15 + 225/15
Now, add the fractions:
(188 - 105 + 7 + 225) / 15
Simplify the numerator:
(90 + 7 + 225) / 15 = 322/15
To express this fraction in simplest form, we can divide the numerator (322) by the denominator (15):
322 ÷ 15 = 21 remainder 7
So, the expression 12 8/15 − 7 + 7/15 + 15 simplifies to 21 7/15 in its simplest form.
Therefore, the correct answer is 21 7/15.
JoJo had 1 1/2 cups of sugar. She used 3/4 cup for her cookies. How much does she have left?
To find out how much sugar JoJo has left, we first need to convert the mixed number to an improper fraction:
1 1/2 = (2 * 1 + 1)/2 = 3/2
Now, we can subtract the amount of sugar used from the original amount:
3/2 - 3/4
To subtract fractions with the same denominator, we subtract the numerators:
(3 - 3)/2 = 0/2 = 0
So, JoJo has 0 cups of sugar left after using 3/4 cup for her cookies.
JoJo had 1 1/2 cups of sugar. She used 3/4 cup for her cookies. How much does she have left?
2 1/4 cup
3/4 cup
2/4 cup
1 1/4 cups
To find out how much sugar JoJo has left, we subtract the amount she used for her cookies from the amount she originally had.
JoJo originally had 1 1/2 cups of sugar, which is equivalent to 3/2 cups.
She used 3/4 cup for her cookies.
To subtract fractions, we need to have a common denominator. In this case, the common denominator is 4.
So, 3/2 cups can be written as 6/4 cups.
Now, we can subtract the fractions:
6/4 - 3/4 = (6 - 3) / 4 = 3/4
Therefore, JoJo has 3/4 cup of sugar left after using 3/4 cup for her cookies.