Add 2 1/5+3 3/10
To add the fractions 2 1/5 and 3 3/10, we need to first convert the mixed numbers to improper fractions.
2 1/5 = 11/5
3 3/10 = 33/10
Now we can add the fractions:
11/5 + 33/10
To add these fractions, we need to find a common denominator. In this case, the common denominator is 10:
22/10 + 33/10
Now we can add the numerators:
(22 + 33)/10 = 55/10
The final result is 55/10.
To add the fractions 2 1/5 and 3 3/10, follow these steps:
Step 1: Convert the mixed numbers into improper fractions.
2 1/5 is equal to (2 * 5 + 1) / 5 = 11/5
3 3/10 is equal to (3 * 10 + 3) / 10 = 33/10
Step 2: Find the common denominator, which is the least common multiple (LCM) of the denominators (5 and 10). In this case, the LCM is 10.
Step 3: Rewrite the fractions with the common denominator.
11/5 becomes (11 * 2) / (5 * 2) = 22/10
33/10 remains the same.
Step 4: Add the fractions together.
22/10 + 33/10 = (22 + 33) / 10 = 55/10
Step 5: Simplify the fraction, if necessary.
55/10 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 5. This simplifies to 11/2.
Therefore, 2 1/5 + 3 3/10 = 11/2.
To add two mixed numbers, you need to first convert them into improper fractions if they are not already in that form.
The first mixed number, 2 1/5, can be converted into an improper fraction as follows:
2 * 5 + 1 = 11
So, 2 1/5 is equivalent to 11/5.
The second mixed number, 3 3/10, can be converted into an improper fraction as follows:
3 * 10 + 3 = 33
So, 3 3/10 is equivalent to 33/10.
Now that we have both numbers as improper fractions, we can add them:
11/5 + 33/10
To add fractions with different denominators, you need a common denominator. In this case, the common denominator is 10 because it is divisible by both 5 and 10.
To convert 11/5 into a fraction with a denominator of 10, we can multiply both the numerator and denominator by 2:
(11/5) * (2/2) = 22/10
Now we can add the fractions:
22/10 + 33/10 = (22 + 33)/10 = 55/10
The result, 55/10, can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 5:
(55/10) ÷ (5/5) = 11/2
So, 2 1/5 + 3 3/10 equals 11/2.