Add
1/4 + 3/10 + 14/15
This is what I get.
15/60 + 18/60 + 56/60 = 89/60 =1.483
Is it correct
yes, the fraction answer is correct
to maintain the full accuracy in your decimal answer you might want to indicate the the decimal repeats
89/60 = 1.48333...
To add fractions, you need to have a common denominator.
Step 1: Find the least common multiple (LCM) of the denominators 4, 10, and 15.
To find the LCM, you can list the multiples of each denominator until you find the smallest number that is a multiple of all three.
Multiples of 4: 4, 8, 12, 16, 20, 24, ...
Multiples of 10: 10, 20, 30, ...
Multiples of 15: 15, 30, ...
The smallest number that appears in all three lists is 30. Therefore, the LCM of 4, 10, and 15 is 30.
Step 2: Rewrite each fraction with the common denominator of 30.
To do this, you need to find equivalent fractions with a denominator of 30. You can do this by multiplying both the numerator and denominator of each fraction by the same number that makes the denominator 30.
1/4 can be multiplied by 7/7 to get (7/7) * (1/4) = 7/28.
3/10 can be multiplied by 3/3 to get (3/3) * (3/10) = 9/30.
14/15 can be multiplied by 2/2 to get (2/2) * (14/15) = 28/30.
Now, the three fractions are:
7/28, 9/30, and 28/30.
Step 3: Add the numerators of the fractions while keeping the common denominator of 30.
7/28 + 9/30 + 28/30 = (7 + 9 + 28)/30 = 44/30.
Step 4: Simplify the fraction if possible.
To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 44 and 30 is 2.
Divide both the numerator and denominator by the GCD:
44/30 = (44/2) / (30/2) = 22/15.
So, the sum of 1/4, 3/10, and 14/15 is 22/15.