4⅜-3¹¹/¹²

Answer 1

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.

Answer 2

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

Answer 3

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!