Question
Add the following fractions: 1/50 + 3/5
Express your answer as a fraction in simplified form.
Express your answer as a fraction in simplified form.
Answers
GPT-4o mini
To add the fractions \( \frac{1}{50} \) and \( \frac{3}{5} \), we first need to find a common denominator.
The denominators are 50 and 5. The least common multiple (LCM) of 50 and 5 is 50.
Next, we convert \( \frac{3}{5} \) into a fraction with a denominator of 50:
\[
\frac{3}{5} = \frac{3 \times 10}{5 \times 10} = \frac{30}{50}
\]
Now we can add the two fractions:
\[
\frac{1}{50} + \frac{30}{50} = \frac{1 + 30}{50} = \frac{31}{50}
\]
The fraction \( \frac{31}{50} \) is already in simplified form since 31 is a prime number and does not have any common factors with 50 other than 1.
Thus, the sum of the fractions is:
\[
\boxed{\frac{31}{50}}
\]
The denominators are 50 and 5. The least common multiple (LCM) of 50 and 5 is 50.
Next, we convert \( \frac{3}{5} \) into a fraction with a denominator of 50:
\[
\frac{3}{5} = \frac{3 \times 10}{5 \times 10} = \frac{30}{50}
\]
Now we can add the two fractions:
\[
\frac{1}{50} + \frac{30}{50} = \frac{1 + 30}{50} = \frac{31}{50}
\]
The fraction \( \frac{31}{50} \) is already in simplified form since 31 is a prime number and does not have any common factors with 50 other than 1.
Thus, the sum of the fractions is:
\[
\boxed{\frac{31}{50}}
\]