1/8 + 3/10 as a Fraction
When we are given two fractions with different denominators, we need to find the least common multiple (LCM) of the denominators to add them. In this case, we want to find the sum of 1/8 and 3/10.
Step 1: Find the Least Common Multiple (LCM)
To find the LCM of 8 and 10, we need to list the multiples of each number:
Multiples of 8: 8, 16, 24, 32, 40, ... Multiples of 10: 10, 20, 30, 40, 50, ...
The first number that appears in both lists is 40, so the LCM of 8 and 10 is 40.
Step 2: Convert the Fractions
Now we need to convert both fractions to have a denominator of 40:
1/8 = 5/40 (multiply numerator and denominator by 5) 3/10 = 12/40 (multiply numerator and denominator by 4)
Step 3: Add the Fractions
Now that both fractions have the same denominator, we can add them:
5/40 + 12/40 = 17/40
Therefore, the result of 1/8 + 3/10 as a fraction is 17/40.
