What is 90.897−81.725?
90.897 - 81.725 = 9.172
What is 12 8/15 − 7 + 7/15 + 15?
How should you group the following expression to make it easiest to add? 18 − 9 4/9 + 7/9 − 8?
To make it easiest to add, we should group the expression by combining the whole numbers and fractions separately.
18 - 9 4/9 + 7/9 - 8
First, combine the whole numbers:
18 - 8 = 10
Now, let's combine the fractions:
- 9 4/9 + 7/9
To combine these fractions, we need a common denominator of 9.
- 9 4/9 = - (9 * 9 + 4)/9 = - (81 + 4)/9 = - 85/9
Thus, the grouped expression becomes:
10 + (-85/9) + (7/9)
Now, we can add the fractions, as they have the same denominator:
10 - (85/9) + (7/9)
To add these fractions, we just add the numerators and keep the common denominator:
10 - (85 + 7)/9
10 - 92/9
Finally, we can simplify the fraction:
10 - 92/9 = (90/9) - (92/9) = -2/9
So, the grouped expression becomes:
10 - 92/9 = -2/9
What is −6712 − 413?(1 point)
To calculate the difference between 90.897 and 81.725, you can subtract one number from the other.
Here's how you can do it:
1. Line up the decimal points of the two numbers (90.897 and 81.725) so that they are directly above each other.
2. Start from the rightmost digit and subtract the corresponding digits.
- In this case, starting from the right, subtract 5 from 7, which gives you 2.
- Then subtract 2 from 9, which gives you 7.
- Finally, subtract 1 from 0. Since 0 is smaller than 1, you will need to borrow from the next digit.
3. Borrowing: To borrow, decrease the digit to the left of the 0 by 1, making it 8. Then increase the 0 to 10.
4. Subtract the borrowed value of 1 from 10, which gives you 9.
5. Subtract 8 (the borrowed value) from 8, which gives you 0.
6. Subtract 8 from 9, which gives you 1.
7. Subtract the remaining digits (8 and 9) without any borrowing. Starting from the left, subtract 8 from 0, which gives you -8. Then subtract 1 from 9, which gives you 8.
Therefore, the difference between 90.897 and 81.725 is 9.172.
To compute this, we first convert the mixed number 12 8/15 into an improper fraction.
12 8/15 = (12 * 15 + 8)/15 = 188/15
Now, we can add up all the terms:
188/15 - 7 + 7/15 + 15
To add fractions with different denominators, we first need to find a common denominator. In this case, the common denominator will be 15.
Now we can rewrite the expression:
(188/15) - (7 * 15/15) + (7/15) + (15 * 15/15)
Simplifying further:
(188/15) - (105/15) + (7/15) + (225/15)
Now, we can add up the numerators:
(188 - 105 + 7 + 225)/15
330/15
Finally, we can simplify this fraction, if possible:
330/15 = 22
Therefore, 12 8/15 - 7 + 7/15 + 15 = 22.