-24 4/5 - 6 7/10
To add the given numbers, we need to convert the mixed fractions to improper fractions:
-24 can be written as -24/1
4/5 remains as 4/5
6 can be written as 6/1
7/10 remains as 7/10
Now we add the fractions together:
-24/1 + 4/5 + 6/1 + 7/10
To add fractions, they need to have a common denominator. In this case, the least common denominator (LCD) is 10.
-24/1 = -240/10
4/5 = 8/10
6/1 = 60/10
7/10 remains as 7/10
Adding the fractions:
(-240/10) + (8/10) + (60/10) + (7/10)
Now we can add the numerators:
(-240 + 8 + 60 + 7)/10 = -165/10
So, the sum of -24, 4/5, 6, and 7/10 is -165/10.
To perform operations with mixed numbers and fractions, you first need to convert them to improper fractions. Let's convert the given numbers:
-24 = -24/1
4/5 = 4/5
-6 = -6/1
7/10 = 7/10
Now we can subtract them step by step:
Step 1: Convert all the fractions to have the same denominator:
-24/1 = -24/1 * 10/10 = -240/10
4/5 = 4/5 * 2/2 = 8/10
-6/1 = -6/1 * 10/10 = -60/10
7/10 = 7/10
Step 2: Subtract the fractions:
(-240/10) - (8/10) = -248/10
Step 3: Simplify the fraction:
-248/10 = -24 8/10
Step 4: Convert the improper fraction to a mixed number:
-24 8/10 = -24 4/5
Therefore, the result of the expression -24 - 4/5 - 6 + 7/10 is -24 4/5.