Jerry has a length of rope that he wants to cuts into 5 equal pieces if the rope is 21 7/8 feet long how should he cut each piece explain your steps
To cut the rope into 5 equal pieces, we need to divide the total length of the rope by 5.
Given that the rope is 21 7/8 feet long, we can convert the mixed number to an improper fraction to make the division easier.
21 7/8 can be written as (21 * 8 + 7)/8 = 175/8 feet.
Now we can divide 175/8 by 5:
175/8 ÷ 5 = 175/8 × 1/5 = (175 × 1) / (8 × 5) = 175 / 40
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 5.
175/40 ÷ 5/5 = (175 ÷ 5) / (40 ÷ 5) = 35/8
Therefore, Jerry should cut each piece of the rope into 35/8 feet.
How to play soduko? explain step by step
To play Sudoku, follow these step-by-step instructions:
Step 1: Understand the Goal
The goal of Sudoku is to fill a 9x9 grid with numbers from 1 to 9, ensuring that each row, column, and 3x3 sub-grid contains every number only once.
Step 2: Analyze the Initial Grid
Examine the starting grid, consisting of partially filled cells. Some cells already contain numbers (given clues), while others are empty.
Step 3: Start Filling the Grid
Begin with any empty cell and choose a number between 1 and 9.
Step 4: Check the Row, Column, and Sub-grid
Verify that the number you chose does not occur within the same row, column, or 3x3 sub-grid. If the number does not break any of these rules, it is a valid choice for that cell.
Step 5: Continue Filling the Grid
Move on to the next empty cell and select another number between 1 and 9 that is not present within the same row, column, or sub-grid.
Step 6: Repeat Steps 4 and 5
Repetitively fill in numbers, following the rules mentioned above, until you reach a point where either the entire grid is filled, or you cannot proceed without violating the rules.
Step 7: Restart if Necessary
If you encounter a situation where no more numbers can be filled in without breaking the rules, it means there might be an error earlier. In such cases, double-check your choices and restart the process if required.
Step 8: Complete the Grid
Keep filling in numbers until the entire grid is filled and all the rows, columns, and sub-grids have a unique combination of numbers from 1 to 9.
Step 9: Check for Accuracy
Once you complete the grid, go through each row, column, and sub-grid to ensure there are no duplicated numbers or any violations of the rules. If everything is in order, congratulations – you have successfully solved the Sudoku puzzle!
Remember, Sudoku is a logical puzzle that requires patience, reasoning, and practice. With time and experience, you will become more adept at solving Sudokus efficiently.
To cut the rope into 5 equal pieces, you can follow these steps:
Step 1: Convert the mixed number to an improper fraction.
21 7/8 = (21 × 8 + 7)/8 = 175/8
Step 2: Divide the length of the rope by the number of pieces you want to cut it into.
175/8 ÷ 5 = (175/8) × (1/5) = 35/8
Step 3: Simplify the fraction if possible.
35/8 = (35 ÷ 1)/(8 ÷ 1) = 35/8
Step 4: Express the fraction as a mixed number if needed.
35 ÷ 8 = 4 remainder 3, so the mixed number is 4 3/8.
Step 5: Each piece should be cut to a length of 4 3/8 feet.