Final answer:
To subtract the fractions 4/7 and 1/5, convert them to have a common denominator of 35, resulting in 20/35 and 7/35 respectively, and then subtract the numerators to obtain the answer 13/35.
Step-by-step explanation:
To subtract the fractions 4/7 and 1/5, you first need to find a common denominator. The least common denominator for 7 and 5 is 35. Next, convert each fraction to an equivalent fraction with the denominator of 35:
- 4/7 = (4×35)/(7×35) = 20/35
- 1/5 = (1×35)/(5×35) = 7/35
Now that the fractions have a common denominator, you can subtract the numerators:
20/35 - 7/35 = (20 - 7)/35
This calculation results in 13/35. So, 4/7 - 1/5 = 13/35.