What is 17 4/9 + 5/9 - 8 -10
To solve the expression, first add the whole numbers, then add the fractions, and finally subtract:
17 + 8 - 10 = 15
Next, add the fractions:
4/9 + 5/9 = 9/9 = 1
Therefore,
17 4/9 + 5/9 - 8 - 10 = 15 1/9.
Joey walked east for 15 2/3 meters from home. Then walked west for 21 3/4 meters. How fat was Joey from home? Write your answer as a mixed number only
To find out how far Joey was from home, we need to subtract the distance he walked west from the distance he walked east.
The distance Joey walked east is 15 2/3 meters.
The distance Joey walked west is 21 3/4 meters.
To subtract the fractions, we need to find a common denominator. The denominators are 3 and 4, so the least common multiple of 3 and 4 is 12.
Converting the fractions to have a denominator of 12:
For 2/3, we multiply the numerator and denominator by 4 to get 8/12.
For 3/4, we multiply the numerator and denominator by 3 to get 9/12.
Now we can subtract the fractions:
15 8/12 - 21 9/12
Since the whole numbers are different, we'll subtract them separately:
15 - 21 = -6
The fraction is 8/12 - 9/12 = -1/12
Putting it all together, Joey was -6 - 1/12 meters from home.
This can be simplified to:
-6 - 1/12 = -6 1/12
So, Joey was 6 1/12 meters from home.
Solve the following word problem. The air temperature at 9 AM is negative 5.8°C. The air temperature at noon is negative 1.6°C. What is the change in temperature during these 3 hours? Write and solve an equation to show your answer. Then explain what your answer means.
To find the change in temperature during these 3 hours, we need to subtract the temperature at 9 AM from the temperature at noon.
The temperature at 9 AM is -5.8°C.
The temperature at noon is -1.6°C.
To find the change in temperature, we subtract the temperature at 9 AM from the temperature at noon:
Change in temperature = temperature at noon - temperature at 9 AM
Change in temperature = (-1.6°C) - (-5.8°C)
When subtracting a negative number, we can rewrite the equation as:
Change in temperature = (-1.6°C) + 5.8°C
Simplifying:
Change in temperature = 5.8°C - 1.6°C
Change in temperature = 4.2°C
Therefore, the change in temperature during these 3 hours is 4.2°C.
This means that the temperature increased by 4.2 degrees Celsius between 9 AM and noon. The change in temperature indicates a warming trend during those 3 hours.
To solve the expression 17 4/9 + 5/9 - 8 - 10 step-by-step, follow these calculations:
Step 1: Convert the mixed number 17 4/9 to an improper fraction.
17 4/9 = 17 * 9/9 + 4/9 = 153/9 + 4/9 = 157/9
Step 2: Combine the fractions with a common denominator (9) and add/subtract the numerators:
157/9 + 5/9 = (157 + 5)/9 = 162/9
Step 3: Simplify the fraction:
162/9 = 18
Step 4: Subtract 8 and 10 from 18:
18 - 8 - 10 = 0
Therefore, the solution to the expression 17 4/9 + 5/9 - 8 - 10 is 0.
To solve the expression 17 4/9 + 5/9 - 8 - 10, we can follow the order of operations, also known as PEMDAS.
Step 1: Simplify any fractions or mixed numbers.
17 4/9 can be converted to an improper fraction by multiplying the whole number (17) by the denominator (9) and adding the numerator (4). This gives us (17*9 + 4)/9 = 153/9. Therefore, the expression becomes 153/9 + 5/9 - 8 - 10.
Step 2: Combine the fractions with the same denominator.
153/9 + 5/9 = (153 + 5)/9 = 158/9. The expression now becomes 158/9 - 8 - 10.
Step 3: Perform the subtraction operation.
158/9 - 8 can be written as a fraction over 1, so we have (158/9) - (8/1). To subtract fractions, we need a common denominator. In this case, the common denominator is 9. Therefore, we get (158 - 72)/9 = 86/9. The expression now becomes 86/9 - 10.
Step 4: Perform the subtraction operation again.
86/9 - 10 can be written as a fraction over 1, so we have (86/9) - (10/1). Once again, we need a common denominator, which is 9. Thus, we get (86 - 90)/9 = -4/9.
Therefore, the value of the expression 17 4/9 + 5/9 - 8 - 10 is equal to -4/9.