what is 9 5/6 plus 1 23/30
Give both common denominator of 30 by multiplying first fraction by 5.
9 25/30 + 1 23/30 = ?
To find the sum of 9 5/6 plus 1 23/30, we need to convert the mixed numbers into improper fractions before performing the addition.
Step 1: Convert the mixed numbers to improper fractions.
9 5/6 can be converted to an improper fraction as (9 * 6 + 5) / 6 = 59/6.
1 23/30 can be converted to an improper fraction as (1 * 30 + 23) / 30 = 53/30.
Step 2: Add the two improper fractions.
59/6 + 53/30
To add fractions with different denominators, we need to find a common denominator. In this case, the least common multiple (LCM) of 6 and 30 is 30. To convert the fractions to have the common denominator of 30:
(59/6) * (5/5) = 295/30
(53/30) * (1/1) = 53/30
Now, we can add the fractions:
295/30 + 53/30 = (295 + 53) / 30 = 348/30
Step 3: Simplify the fraction (if needed).
The fraction 348/30 can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator, which is 6:
348/30 รท 6/6 = 58/5
So, 9 5/6 plus 1 23/30 equals 58/5 or 11 3/5.