add - 1 3/10 + ( - 4 2/15)
To add the given numbers, we need to convert the mixed numbers into improper fractions:
For -1 3/10:
- Multiply the whole number (-1) by the denominator (10) and add the resulting value to the numerator (3) to get the new numerator:
-1 * 10 + 3 = -10 + 3 = -7
- The denominator (10) remains the same.
- So, -1 3/10 as an improper fraction is -7/10.
For -4 2/15:
- Multiply the whole number (-4) by the denominator (15) and add the resulting value to the numerator (2) to get the new numerator:
-4 * 15 + 2 = -60 + 2 = -58
- The denominator (15) remains the same.
- So, -4 2/15 as an improper fraction is -58/15.
Now, we can add the fractions -7/10 and -58/15:
-7/10 + (-58/15)
To add fractions with different denominators, we need to find a common denominator. The least common multiple (LCM) of 10 and 15 is 30.
Now, we can rewrite the fractions with the common denominator of 30:
(-7/10)*(3/3) + (-58/15)*(2/2)
= -21/30 + (-116/30)
To combine the numerators, we just add them:
-21/30 + (-116/30)
= (-21 - 116)/30
= -137/30
Therefore, -1 3/10 + (-4 2/15) equals -137/30.
To add the given numbers, we need to first convert the mixed numbers into improper fractions:
3/10 = (3 * 10 + 1)/10 = 31/10
-4 2/15 = (-4 * 15 + 2)/15 = (-60 + 2)/15 = -58/15
Now we can add the fractions:
31/10 + (-58/15)
To add fractions with different denominators, we need to find a common denominator. The least common multiple (LCM) of 10 and 15 is 30.
Now, we will convert the fractions to have a common denominator of 30:
(31/10) * (3/3) = 93/30
(-58/15) * (2/2) = -116/30
Now, we can add the fractions with the same denominator:
93/30 + (-116/30)
To add fractions with the same denominator, we simply add the numerators:
(93 - 116)/30 = -23/30
So, the result of the addition is -23/30.