Add - 1 3/10 + ( - 4 2/15
To add -1 3/10 and -4 2/15, we need to convert the mixed numbers to improper fractions.
-1 3/10 can be converted to -13/10.
-4 2/15 can be converted to -62/15.
Now, we can add the fractions. (-13/10) + (-62/15) is equal to (-195/150) + (-62/15).
To add these fractions, we need to find a common denominator, which is 150.
(-195/150) + (-62/15) = (-195/150) + (-20*62/20*15)
= (-195/150) + (-1240/300)
Now, we can add the numerators.
= (-195 - 1240)/150
= -1435/150
The fraction -1435/150 cannot be simplified any further.
Therefore, the answer is -1435/150.
The choices are -5 1/6, -5 1/5, -2 5/6, - 5 13/30
To add -1 3/10 and -4 2/15, we need to convert the mixed numbers to improper fractions.
-1 3/10 can be converted to -13/10.
-4 2/15 can be converted to -62/15.
Now, we can add the fractions. (-13/10) + (-62/15) is equal to (-195/150) + (-62/15).
To add these fractions, we need to find a common denominator, which is 150.
(-195/150) + (-62/15) = (-195/150) + (-20*62/20*15)
= (-195/150) + (-1240/300)
Now, we can add the numerators.
= (-195 - 1240)/150
= -1435/150
The fraction -1435/150 cannot be simplified any further.
To convert -1435/150 back to a mixed number, we divide the numerator by the denominator.
-1435 ÷ 150 = -9 remainder 35
Therefore, the answer is -9 35/150.
We can simplify this mixed number by dividing both the numerator and denominator by their greatest common divisor, which is 5.
-9 ÷ 5 = -1 remainder 4
35 ÷ 5 = 7
Therefore, -9 35/150 is equivalent to -1 4/30.
Simplifying the fraction 4/30 further, we divide both the numerator and denominator by their greatest common divisor, which is 2.
4 ÷ 2 = 2
30 ÷ 2 = 15
Therefore, -1 4/30 is equivalent to -1 2/15.
Therefore, the correct answer is -1 2/15.
To add - 1 3/10 and - 4 2/15, you need to find a common denominator for the fractions. The common denominator for 10 and 15 is 30.
First, convert -1 3/10 to an improper fraction:
-1 3/10 = -10/10 - 3/10 = -13/10
Next, convert -4 2/15 to an improper fraction:
-4 2/15 = -60/15 - 2/15 = -62/15
Now, add the two fractions:
-13/10 + (-62/15)
To add fractions, we need to find a common denominator, which in this case is 30. Multiply the numerator and denominator of the first fraction by 3, and multiply the numerator and denominator of the second fraction by 2:
(-13/10) * (3/3) + (-62/15) * (2/2) = (-39/30) + (-124/30)
Now, we can add the fractions:
(-39/30) + (-124/30) = -163/30
So, -1 3/10 + (-4 2/15) equals -163/30.
To add -1 3/10 and -4 2/15, we need to convert both mixed numbers to improper fractions and then add them.
First, let's convert -1 3/10 to an improper fraction:
-1 3/10 = -(1 * 10 + 3)/10 = -13/10
Next, let's convert -4 2/15 to an improper fraction:
-4 2/15 = -(4 * 15 + 2)/15 = -62/15
Now that we have both numbers as improper fractions, we can add them:
-13/10 + (-62/15)
To add fractions, we need to have a common denominator. The least common multiple (LCM) of 10 and 15 is 30. Let's rewrite the fractions with a common denominator:
(-13/10) * (3/3) = -39/30
(-62/15) * (2/2) = -124/30
Now we can add the fractions:
-39/30 + (-124/30) = -163/30
So, -1 3/10 + (-4 2/15) is equal to -163/30.