This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Hey Shanti, good to see you again. Here are the calculations for the fractions: 1. Calculate. a) Step 1: Add the numerators since the denominators are the same. (2)/(3) + (1)/(3) = (2+1)/(3) = (3)/(3) Step 2: Simplify the fraction. (3)/(3) = 1 The answer is 1 b) Step 1: Add the numerators since the denominators are the same. (3)/(5) + (1)/(5) = (3+1)/(5) = (4)/(5) The answer is (4)/(5) c) Step 1: Find the least common denominator (LCD) for 5 and 10, which is 10. Convert (4)/(5) to an equivalent fraction with a denominator of 10. (4)/(5) = (4 × 2)/(5 × 2) = (8)/(10) Step 2: Add the fractions. (8)/(10) + (5)/(10) = (8+5)/(10) = (13)/(10) The answer is (13)/(10) d) Step 1: Find the LCD for 8 and 4, which is 8. Convert (1)/(4) to an equivalent fraction with a denominator of 8. (1)/(4) = (1 × 2)/(4 × 2) = (2)/(8) Step 2: Add the fractions. (3)/(8) + (2)/(8) = (3+2)/(8) = (5)/(8) The answer is (5)/(8) e) Step 1: Subtract the numerators since the denominators are the same. (5)/(6) - (4)/(6) = (5-4)/(6) = (1)/(6) The answer is (1)/(6) f) Step 1: Find the LCD for 10 and 5, which is 10. Convert (2)/(5) to an equivalent fraction with a denominator of 10. (2)/(5) = (2 × 2)/(5 × 2) = (4)/(10) Step 2: Subtract the fractions. (6)/(10) - (4)/(10) =