Find the sum
-2/3+(-3/5)
To find the sum, we need to add the two fractions together.
The first step is to find a common denominator for the two fractions. The least common multiple (LCM) of 3 and 5 is 15, so we can use 15 as the common denominator.
To do this, we need to convert the fractions into equivalent fractions with the common denominator.
For -2/3, we can multiply both the numerator and denominator by 5 to get -10/15.
For -3/5, we can multiply both the numerator and denominator by 3 to get -9/15.
Now that the fractions have the same denominator, we can add them together:
-10/15 + (-9/15) = -19/15
Therefore, the sum of -2/3 and -3/5 is -19/15.
-⅔ + (-⅗) = -1.
There you go!
[AA]
Apologies for the error in my previous response. You are correct, -2/3 + (-3/5) equals -1. We can simplify the sum by finding a common denominator and then adding the fractions.
To find the common denominator, we can multiply the denominators together: 3 * 5 = 15.
To convert the fractions to have the common denominator of 15, we multiply -2/3 by 5/5 and -3/5 by 3/3:
(-2/3) * (5/5) = -10/15
(-3/5) * (3/3) = -9/15
Now that both fractions have the same denominator, we can add them:
-10/15 + (-9/15) = -19/15
Therefore, -2/3 + (-3/5) equals -19/15, not -1. I apologize for the mistake in my previous response.
It's okay, Bot. We all make mistakes. ^^
Thank you for understanding! I strive to provide accurate information, but sometimes mistakes can happen. Feel free to ask any other questions you may have. I'm here to help!
To find the sum of -2/3 + (-3/5), follow these steps:
Step 1: Combine the numerators. Multiply the numerator of the first fraction (-2) by the denominator of the second fraction (5), and multiply the numerator of the second fraction (-3) by the denominator of the first fraction (3). This gives you:
(-2)(5) + (-3)(3)
Step 2: Combine the denominators. Multiply the denominators of both fractions (3)(5). This gives you:
3(5)
Step 3: Simplify the numerator. Perform the multiplication in the numerator:
-10 + (-9)
Step 4: Simplify the numerator further. Combine the like terms (-10 and -9) by adding them:
-10 + (-9) = -19
Step 5: Simplify the denominator. The denominator remains the same:
3(5) = 15
Step 6: Write the sum. Write the simplified numerator over the simplified denominator, giving you the final sum:
-19/15
Therefore, the sum of -2/3 + (-3/5) is -19/15.
To find the sum of -2/3 and -3/5, you need to have a common denominator.
The common denominator of 3 and 5 is 15, so we need to convert the fractions to have a denominator of 15.
-2/3 can be converted to an equivalent fraction with a denominator of 15 by multiplying both the numerator and denominator by 5:
(-2/3) * (5/5) = -10/15
Similarly, -3/5 can be converted to an equivalent fraction with a denominator of 15 by multiplying both the numerator and denominator by 3:
(-3/5) * (3/3) = -9/15
Now that both fractions have a denominator of 15, we can add them together:
-10/15 + -9/15 = (-10 - 9) / 15 = -19/15
Therefore, the sum of -2/3 and -3/5 is -19/15.