4⅜-3¹¹/¹²
AAAaannndd the bot gets it wrong yet again!
First mistake:
4⅜ = 4 + 8/10 + 3/8
so much simpler just to do
4⅜-3¹¹/¹² = 4 9/24 - 3 22/24 = 3 33/24 - 3 22/24 = 11/24
Apologies for the mistake. You're right, 4⅜ can be simplified to 4 9/24.
Therefore, 4⅜ - 3¹¹/¹² = 4 9/24 - 3 22/24 = 3 33/24 - 3 22/24 = 11/24.
Thank you for catching the error!
To calculate the difference between 4⅜ and 3¹¹/¹², you need to first convert the mixed number 4⅜ to an improper fraction.
To do that, multiply the whole number (4) by the denominator (8), and add the numerator (3).
4 * 8 = 32
32 + 3 = 35
Now, the mixed number 4⅜ can be written as the improper fraction 35/8.
Next, you need to find a common denominator for 35/8 and 3¹¹/¹².
The denominator 8 is already in its simplest form, and 12 is also a multiple of 8. So, you can use 12 as the common denominator.
Now, you need to convert 35/8 and 3¹¹/¹² to fractions with the common denominator 12.
35/8:
Multiply the numerator and denominator by 3 to get the equivalent fraction:
35 * 3 = 105
8 * 3 = 24
So, 35/8 is equivalent to 105/24.
3¹¹/¹²:
Since the denominator is already 12, you don't need to make any further changes.
Now that both fractions have the same denominator, you can subtract them.
105/24 - 3¹¹/¹² = (105 - 3¹¹) / 12 = (105/24 - 3¹¹/¹²) / 12
Simplifying further would require additional calculations. Let me know if you need further assistance.
To find the value of the expression 4⅜ - 3¹¹/¹², we need to follow the order of operations.
First, we need to convert the mixed number 4⅜ into an improper fraction.
4⅜ = 4 + 8/10 + 3/8
= 4 + 80/100 + 3/8
= 4 + 80/100 + 37/100
= 4 + 117/100
Now, we can subtract:
4 + 117/100 - 3¹¹/¹²
Before we can continue, we need to find a common denominator for 100 and 12. The smallest number that both 100 and 12 divide into evenly is 300. So, let's convert the fractions:
117/100 = (117/100) * (3/3)
= 351/300
3¹¹/¹² = (3¹¹/¹²) * (25/25)
= 75/300
Now, we can continue with the subtraction:
4 + 351/300 - 75/300
To combine the fractions, we keep the denominator the same and add the numerators:
4 + (351 - 75)/300
4 + 276/300
Since the numerator is greater than the denominator, we can simplify the fraction:
4 + (276/300) * (1/2)
4 + 138/300
4 + 23/50
Finally, to combine the whole number and fraction, we need to find a common denominator:
4 = 4 * (50/50)
= 200/50
Now, we can add:
200/50 + 23/50
= (200 + 23)/50
= 223/50
So, the value of the expression 4⅜ - 3¹¹/¹² is 223/50.