-3/10 + -4 2/15
To solve this expression, we need to find a common denominator for the fractions. The common denominator for 10 and 15 is 30.
-3/10 is equivalent to (-3 * 3)/(10 * 3) = -9/30
-4 2/15 is equivalent to (-4 * 15)/15 + (2/15) = -60/15 + 2/15 = -58/15
Now that we have a common denominator, we can add the fractions.
-9/30 + (-58/15) = (-9 * 2)/(30 * 2) + (-58/15) = -18/60 + (-58/15)
To add these fractions, the denominators must be the same. We can convert -18/60 to have a denominator of 15 by multiplying the numerator and denominator by 5.
(-18/60) * (5/5) = (-18 * 5)/(60 * 5) = -90/300
Now that both fractions have a denominator of 15, we can add them.
(-90/300) + (-58/15) = (-90 - 58)/300 = -148/300
Therefore, -3/10 + -4 2/15 is equal to -148/300.
is there any way you can simplify your answer
Yes, we can simplify the answer further.
The fraction -148/300 can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it.
The GCD of 148 and 300 is 4.
Dividing both numerator and denominator by 4, we get:
-148/300 = (-148/4)/(300/4) = -37/75
Therefore, -3/10 + -4 2/15 is simplified to -37/75.
To add -3/10 and -4 2/15, we need to convert the mixed number -4 2/15 into an improper fraction.
To do so, we multiply the whole number (-4) by the denominator (15) and add the numerator (2):
-4 * 15 + 2 = -60 + 2 = -58
Next, we rewrite the mixed number as an improper fraction:
-4 2/15 = -58/15
Now we can add the fractions:
-3/10 + -58/15
To add fractions with different denominators, we need to find a common denominator. In this case, the least common multiple (LCM) of 10 and 15 is 30.
Now we need to convert both fractions so that they have a denominator of 30:
-3/10 * 3/3 = -9/30
-58/15 * 2/2 = -116/30
Now we can add the fractions:
-9/30 + -116/30 = -125/30
Simplifying the fraction:
-125/30 = -5/2
Therefore, -3/10 + -4 2/15 equals -5/2.