what is solution 4/7+3/10
Answer (1)
Answer:61/70Step-by-step explanation:To solve 4/7 + 3/10, we need to add the fractions by finding a common denominator.The denominators are 7 and 10. Their least common multiple (LCM) is 70, so we'll convert both fractions to have a denominator of 70.For 4/7: Multiply numerator and denominator by 10 to get (4 × 10)/(7 × 10) = 40/70.For 3/10: Multiply numerator and denominator by 7 to get (3 × 7)/(10 × 7) = 21/70.Now add the fractions: 40/70 + 21/70 = (40 + 21)/70 = 61/70.The fraction 61/70 is in its simplest form since 61 is prime and does not divide 70 evenly.To verify, we can compute the decimal values: 4/7 ≈ 0.5714 and 3/10 = 0.3, so 0.5714 + 0.3 = 0.8714. Similarly, 61/70 ≈ 0.8714, confirming the result.
