Add 12/5 and 8/13. Fractions show how it is done please.
When we add or subtract fractions, we must use equivalent fractions with a common denominator.
12/5 = 156/65
8/13 = 40/65
Add the numerators:
156/65 + 40/65 = 196/65
Simplify
196/65 = 3 1/65
12/5+8/13 the denominators have to equal the same so you mult. 5 times 13 and 13 times 5 and the numerators too
156/65+40/65=196/65
To add fractions, you need to find a common denominator for both fractions. The common denominator is the smallest number that both denominators can evenly divide into. To find the common denominator, you can find the least common multiple (LCM) of the denominators.
The denominators in this case are 5 and 13. The LCM of 5 and 13 is 65. Therefore, we need to rewrite both fractions so that they have the same denominator of 65.
For the fraction 12/5, we can multiply both the numerator and denominator by 13 to get an equivalent fraction with a denominator of 65:
(12/5) * (13/13) = 156/65
For the fraction 8/13, we can multiply both the numerator and denominator by 5 to get an equivalent fraction with a denominator of 65:
(8/13) * (5/5) = 40/65
Now that both fractions have the same denominator, we can add them:
156/65 + 40/65 = (156 + 40)/65 = 196/65
Therefore, the sum of 12/5 and 8/13 is 196/65.