What is the value of the expression -13(21 4/9)
Responses
The value of the expression -13(21 4/9) is -286 2/9
If a bookshelf is 1/8 inches long, how many 7/8 inch thick books will it hold?
Responses
To determine how many books with a thickness of 7/8 inch a bookshelf that is 1/8 inch long can hold, we need to divide the length of the bookshelf by the thickness of each book.
1/8 inch / 7/8 inch = 1/8 * 8/7 = 1/7
Therefore, the bookshelf can hold 1/7 of a book with a thickness of 7/8 inch.
A library loans out 3 books every day for a week and no books are returned. The following equation is written to represent the situation:
The equation to represent the situation is:
Total number of books loaned = 3 books/day * 7 days/week = 21 books/week
To find the value of the expression -13(21 4/9), you need to first convert the mixed number 21 4/9 to an improper fraction.
Step 1: Convert the whole number to a fraction.
21 = 21/1
Step 2: Add the fraction to the whole number fraction.
21/1 + 4/9 = (21 * 9 + 4) / 9 = 193/9
Now, substitute the converted fraction into the expression -13(193/9) and perform the multiplication.
Step 3: Multiply the whole number (-13) by the numerator (193) and keep the denominator (9).
-13 * 193/9 = -2513/9
The value of the expression -13(21 4/9) is -2513/9.
To find the value of the expression -13(21 4/9), we need to multiply -13 by the mixed number 21 4/9.
To do this, we follow these steps:
1. Convert the mixed number 21 4/9 into an improper fraction.
- To convert the mixed number 21 4/9 into an improper fraction, we first multiply the whole number (21) by the denominator of the fraction (9), which gives us 21 * 9 = 189.
- Then, we add the numerator (4) to get the total numerator 189 + 4 = 193.
- Finally, we place the numerator (193) over the denominator (9) and write it as an improper fraction: 193/9.
2. Multiply the resulting improper fraction by -13.
- We multiply the numerator (-13) by the resulting improper fraction (193/9) to get -13 * 193/9.
- To multiply fractions, we multiply the numerators (numerator * numerator) and the denominators (denominator * denominator) separately.
- So, -13 * 193/9 = (-13 * 193) / (1 * 9) = -2509/9.
Therefore, the value of the expression -13(21 4/9) is -2509/9.