Add - 1 3/10 + (-4 2/15
To add -1 3/10 and -4 2/15, we first need to find a common denominator.
The denominator for 10 and 15 is 30.
-1 3/10 can be rewritten as -10/10 + 3/10 = -13/10.
-4 2/15 can be rewritten as -60/15 + 2/15 = -58/15.
Now, we can add the fractions:
-13/10 + (-58/15)
To add these fractions, we need a common denominator, which is 30:
-13/10 * 3/3 = -39/30
-58/15 * 2/2 = -116/30
Now, we can add the fractions with the same denominator:
-39/30 + (-116/30) = -155/30
Simplifying the result, we get:
-155/30 = -5 5/6
To add - 1 3/10 and -4 2/15, you can follow these steps:
Step 1: Convert the mixed numbers to improper fractions:
- 1 3/10 can be written as (-1 * 10 + 3)/10 = -13/10
- -4 2/15 can be written as (-4 * 15 + 2)/15 = -58/15
Step 2: Find a common denominator for the fractions, which in this case is 30:
- Multiply the numerator and denominator of -13/10 by 3 to get -39/30
- Multiply the numerator and denominator of -58/15 by 2 to get -116/30
Step 3: Add the fractions together:
- (-39/30) + (-116/30) = -39/30 - 116/30 = (-39 - 116)/30 = -155/30
Step 4: Simplify the fraction if possible:
- The fraction -155/30 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD) of 5:
- (-155/5)/(30/5) = -31/6
Therefore, - 1 3/10 + (-4 2/15) is equal to -31/6.