Hi how would i go about solving this. It's fraction + fracion over fraction+fraction
-4/5+3/5
__________
1/3+1/5
1. COMBINE THE FRACTIONS ON TOP
2. COMBINE THE FRACTIONS ON BOTTOM
BY COMBINE I MEAN ADD THEM TOGETHER
THEN YOU WILL HAVE A FRACTION OVER A FRACTION
TAKE THE BOTTOM FRACTION TURN IT UPSIDE DOWN AND MULTIPLY THE TOP FRACTION BY THE UPSIDE VERSION OF THE BOTTOM
2x-5=25
To solve the expression (-4/5 + 3/5) / (1/3 + 1/5), you can follow these steps:
Step 1:
Evaluate the addition of fractions within the numerator (-4/5 + 3/5):
-4/5 + 3/5 = (-4 + 3) / 5 = -1/5
Step 2:
Evaluate the addition of fractions within the denominator (1/3 + 1/5):
To add fractions with different denominators, you need to find a common denominator.
The least common multiple (LCM) of 3 and 5 is 15.
So, let's convert 1/3 and 1/5 into fractions with the denominator 15:
1/3 = (1/3) * (5/5) = 5/15
1/5 = (1/5) * (3/3) = 3/15
Now, we can add the fractions:
1/3 + 1/5 = 5/15 + 3/15 = (5 + 3) / 15 = 8/15
Step 3:
Now, we have (-1/5) / (8/15). Invert the denominator and multiply:
(-1/5) / (8/15) = (-1/5) * (15/8)
Step 4:
Multiply the numerators and denominators:
(-1/5) * (15/8) = (-1 * 15) / (5 * 8) = -15/40
Step 5:
The fraction -15/40 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 5:
-15/40 = (-15 ÷ 5) / (40 ÷ 5) = -3/8
Therefore, the value of the expression (-4/5 + 3/5) / (1/3 + 1/5) is -3/8.