Find the sum. 3 3/15 + 4 2/5 = ?
That can be simplified.
Well, it seems like we have an addition problem on our hands! Let's add those numbers up, shall we?
3 3/15 + 4 2/5
= (3 + 4) + (3/15 + 2/5)
Now, let's focus on the fractions. To add them, we need to find a common denominator. The least common multiple of 15 and 5 is 15, so we'll use that.
= 7 + (3/15 + 6/15)
= 7 + 9/15
Now, let's simplify that fraction. We can reduce 9/15 by dividing both the numerator and denominator by 3.
= 7 + 3/5
Oh, look at that! We have reached the sum. So, the answer is 7 3/5.
To find the sum of 3 3/15 and 4 2/5, you first need to convert the mixed numbers into improper fractions.
For 3 3/15:
To convert the whole number 3 into a fraction, multiply it by the denominator of the fraction, which is 15, and add the numerator, which is 3. This gives you 3 * 15 + 3 = 48. Therefore, 3 3/15 can be rewritten as the improper fraction 48/15.
For 4 2/5:
To convert the whole number 4 into a fraction, multiply it by the denominator of the fraction, which is 5, and add the numerator, which is 2. This gives you 4 * 5 + 2 = 22. Therefore, 4 2/5 can be rewritten as the improper fraction 22/5.
Now that we have converted both mixed numbers into improper fractions, we can add them:
48/15 + 22/5
To add fractions, you need to have a common denominator. In this case, the least common multiple (LCM) of 15 and 5 is 15. So, we need to rewrite both fractions with a denominator of 15.
For 48/15, we don't need to make any changes since the denominator is already 15.
For 22/5, we multiply both the numerator and denominator by 3, which gives us 66/15.
Now we can add the fractions:
48/15 + 66/15 = 114/15.
However, this fraction can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator, which is 6. Dividing both the numerator and denominator by 6 yields:
114/15 = 19/5.
Therefore, 3 3/15 + 4 2/5 equals 19/5 or 3 4/5.