Simplest terms 1/2+ 3/8
To add these fractions, you need to find a common denominator. The simplest common denominator for 2 and 8 is 8.
Rewriting the fractions with the common denominator:
1/2 (which is equal to 4/8) + 3/8
Adding the numerators and keeping the common denominator:
4/8 + 3/8 = 7/8
So, the simplest term of 1/2 + 3/8 is 7/8.
To add 1/2 and 3/8, you need to find a common denominator. The least common denominator (LCD) for 2 and 8 is 8.
Now, let's express both fractions with the LCD:
1/2 = 4/8 (multiply numerator and denominator of 1/2 by 4)
3/8 = 3/8 (no need to change this fraction)
Now we can add the fractions:
4/8 + 3/8 = 7/8
So, the sum of 1/2 and 3/8 is 7/8.
To add fractions with different denominators like 1/2 and 3/8, you need to find a common denominator. Here's how you can do it step by step:
Step 1: Find the least common multiple (LCM) of the two denominators, 2 and 8.
To find the LCM, you can list the multiples of both denominators and look for the smallest common multiple:
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, ...
Multiples of 8: 8, 16, 24, 32, ...
From the lists, you can see that the LCM of 2 and 8 is 8.
Step 2: Convert both fractions to have the same denominator, which is 8 in this case.
To convert 1/2 to the denominator 8, you multiply both the numerator and the denominator by 4 (which is 8 divided by the original denominator of 2):
1/2 * 4/4 = 4/8
To convert 3/8 to the denominator 8, you don't need to do anything since it already has a denominator of 8.
Step 3: Add the fractions by simply adding the numerators while keeping the denominator the same:
4/8 + 3/8 = (4 + 3) / 8 = 7/8
So, when you simplify 1/2 + 3/8, the result is 7/8.