Solve 3 5/16 + 3/8 + 1/4+ 1/2

Answer 1

To solve this addition problem, we need to find a common denominator for the fractions.

The denominators in the given fractions are:
16, 8, 4, and 2.

To find the common denominator, we need to find the lowest common multiple (LCM) of these numbers.

The prime factorization of each number is:
16 = 2^4
8 = 2^3
4 = 2^2
2 = 2^1

Taking the highest power of each prime number, we get:
LCM = 2^4 = 16

Now, we need to convert each fraction to have a denominator of 16.

For 5/16, we don't need to make any changes since its denominator is already 16.
For 3/8, we can multiply the numerator and denominator by 2 to get 6/16.
For 1/4, we can multiply the numerator and denominator by 4 to get 4/16.
For 1/2, we can multiply the numerator and denominator by 8 to get 8/16.

Now, we can add the fractions:
5/16 + 6/16 + 4/16 + 8/16

The denominators are already the same, so we can add the numerators:
5 + 6 + 4 + 8 = 23

The sum is 23/16.