12 1/3 + 7 7/15
switch fractions to improper fractions then find a common denominator
to find improper fraction of 12 1/3 multiply whole number (12) by the denominator of the fraction (3) then add the numerator of the fraction (1)
therefore improper fraction will be 37/3
To switch the fraction 1/3 to an improper fraction, you would multiply the whole number 12 by the denominator of the fraction, which is 3, and then add the numerator of the fraction, which is 1. So, 12 multiplied by 3 is 36, and when you add 1 to that, you get 37. Therefore, the improper fraction is 37/3.
Now let's switch the fraction 7/15 to an improper fraction. We will do the same process: multiply the whole number 7 by the denominator of the fraction, which is 15, and then add the numerator of the fraction, which is 7. So, 7 multiplied by 15 is 105, and when you add 7 to that, you get 112. Therefore, the improper fraction is 112/15.
Now, we need to find a common denominator for the two fractions, which is the least common multiple (LCM) of the two denominators, which are 3 and 15. The LCM of 3 and 15 is 15.
To find the equivalent fractions with a common denominator of 15, we need to multiply both the numerator and denominator of the first fraction, 37/3, by 5. This gives us 185/15.
For the second fraction, 112/15, we don't need to do anything because it already has the common denominator of 15.
Now we can add the two fractions together:
185/15 + 112/15
To add fractions with the same denominator, you simply add the numerators and keep the common denominator unchanged. So, adding the numerators 185 and 112 gives us 297.
Therefore, the result of 12 1/3 + 7 7/15 is 297/15.
However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3. Dividing 297 by 3 gives us 99, and dividing 15 by 3 gives us 5.
Therefore, the simplified result is 99/5.