Final answer:
To subtract (3/14) and (7/10), find the least common denominator which is 70. Then subtract the equivalent fractions to get (-34/70), which simplifies to (-17/35).
Step-by-step explanation:
To subtract the fractions (3/14) and (7/10), you will need to find a common denominator. The least common denominator (LCD) for 14 and 10 is 70. Convert both fractions to have this common denominator:
(3/14) becomes (3 × 5)/(14 × 5) = (15/70)
(7/10) becomes (7 × 7)/(10 × 7) = (49/70)
Now that both fractions have the same denominator, you can subtract them:
(15/70) - (49/70) = (-34/70)
This result can be simplified by dividing both the numerator and denominator by the greatest common divisor, which is 2:
(-34/70) simplified is (-17/35)
So, the final answer to the subtraction of (3/14) and (7/10) is (-17/35).