What is 3/7 + 2/5 + 1/10?
The common denominator is 70
3/7 = 30/70
Find the other two equivalent fractions and add the numerators.
Is the answer before lowest terms 41/70?
Nope. Please try again.
To find the sum of fractions, you need to have a common denominator. In this case, the common denominator is 70, which is the least common multiple of 7, 5, and 10.
Here's how you can calculate the sum step by step:
1. Rewrite the fractions with the common denominator:
- 3/7 = 30/70 (multiply the numerator and denominator by 10)
- 2/5 = 28/70 (multiply the numerator and denominator by 14)
- 1/10 = 7/70 (multiply the numerator and denominator by 7)
2. Add the numerators together while keeping the common denominator:
30/70 + 28/70 + 7/70 = (30 + 28 + 7)/70 = 65/70
3. Simplify the fraction, if possible:
The greatest common divisor (GCD) of 65 and 70 is 5. Divide the numerator and denominator by 5 to simplify:
65/70 รท 5/5 = 13/14
Therefore, 3/7 + 2/5 + 1/10 is equal to 13/14.