Add the following fractions: 1/50 + 3/5 (1 point)
To add fractions, you need to have a common denominator. In this case, the common denominator is 50.
Step 1: Convert the first fraction to have a denominator of 50:
1/50 can stay as it is since it already has a denominator of 50.
Step 2: Convert the second fraction to have a denominator of 50:
To convert 3/5 to an equivalent fraction with a denominator of 50, multiply the numerator and denominator by 10:
3/5 = (3 * 10) / (5 * 10) = 30/50
Now that both fractions have the same denominator, you can add them together.
Step 3: Add the fractions:
1/50 + 30/50 = (1 + 30) / 50 = 31/50
Therefore, the sum of the fractions 1/50 + 3/5 is 31/50.
To add fractions, you need a common denominator. The common denominator is the least common multiple (LCM) of the denominators. In this case, the denominators are 50 and 5.
To find the LCM of 50 and 5, you can start by listing the multiples of each number:
Multiples of 50: 50, 100, 150, 200, 250, 300, 350, 400, 450, 500, ...
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, ...
The least common multiple is the smallest number that appears in both lists. In this case, it is 50.
Now that you have the common denominator of 50, you can rewrite the fractions with this denominator:
1/50 + 3/5 = (1 * 1)/(50 * 1) + (3 * 10)/(5 * 10)
= 1/50 + 30/50
Now that both fractions have the same denominator, you can simply add the numerators:
1/50 + 30/50 = (1 + 30)/50
= 31/50
Therefore, 1/50 + 3/5 equals 31/50.