Solve the Fraction Addition: 2/5 + 4/10 Step-by-Step

Video Solution

Solution Steps

00:06 Let's solve this problem together.

00:09 First, we need to find the least common denominator.

00:13 We'll multiply by two to get a common denominator of ten.

00:17 Remember, always multiply both the numerator and denominator.

00:22 Now, let's calculate these multiplications.

00:26 Then, add the fractions under the common denominator.

00:31 Next, calculate the numerator by adding them up.

00:35 And that's how we find the solution! Great job!

Step-by-Step Solution

To solve this problem, we will add the fractions by first finding a common denominator:

Step 1: Identify that the denominators are 5 and 10. Since 10 is a multiple of 5, we choose 10 as the common denominator.
Step 2: Convert $\frac{2}{5}$ into a fraction with a denominator of 10. Multiply both numerator and denominator by 2 to get $\frac{4}{10}$ .
Step 3: Now both fractions are over 10: $\frac{4}{10}$ and $\frac{4}{10}$ .
Step 4: Add the numerators: $4 + 4 = 8$ .
Step 5: The sum is $\frac{8}{10}$ .

Therefore, the solution to the problem is $\frac{8}{10}$ .

The correct answer choice is: $\frac{8}{10}$ .