-6/10+_2/8
To solve this expression, you need to combine the fractions with common denominators.
The given expression is:
-6/10 + 2/8
First, we need to find a common denominator for 10 and 8, which is 40.
Next, we need to convert the fractions to have this common denominator.
-6/10 is equivalent to -24/40 (multiply numerator and denominator by 4)
2/8 is equivalent to 10/40 (multiply numerator and denominator by 5)
Now, we can add the two fractions:
-24/40 + 10/40 = -14/40
However, we can further simplify this fraction. The greatest common divisor of 14 and 40 is 2.
So, we can divide both the numerator and denominator by 2:
-14/40 รท 2/2 = -7/20
Therefore, the simplified value of -6/10 + 2/8 is -7/20.
To solve the expression -6/10 + 2/8, follow these steps:
Step 1: Simplify the fractions.
-6/10 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 2. So, -6/10 simplifies to -3/5.
2/8 can be simplified in the same way. The GCD of 2 and 8 is 2. Dividing both the numerator and denominator of 2/8 by 2 gives 1/4.
So the expression simplifies to -3/5 + 1/4.
Step 2: Find a common denominator.
To add fractions, we need to have a common denominator. The least common multiple (LCM) of 5 and 4 is 20. So, to get a common denominator of 20, we need to multiply -3/5 by 4/4 and 1/4 by 5/5.
This gives us -12/20 + 5/20.
Step 3: Add the fractions.
Now that we have the same denominator, we can add the numerators:
-12/20 + 5/20 = -7/20.
Therefore, -6/10 + 2/8 simplifies to -7/20.