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 Enzokuhle, good to see you again. Here are the solutions to the fraction problems: a) (1)/(4) + (1)/(2) Step 1: Find a common denominator. The least common multiple of 4 and 2 is 4. Step 2: Convert (1)/(2) to an equivalent fraction with a denominator of 4. (1)/(2) = (1 × 2)/(2 × 2) = (2)/(4) Step 3: Add the fractions. (1)/(4) + (2)/(4) = (1+2)/(4) = (3)/(4) b) (7)/(8) - (1)/(2) Step 1: Find a common denominator. The least common multiple of 8 and 2 is 8. Step 2: Convert (1)/(2) to an equivalent fraction with a denominator of 8. (1)/(2) = (1 × 4)/(2 × 4) = (4)/(8) Step 3: Subtract the fractions. (7)/(8) - (4)/(8) = (7-4)/(8) = (3)/(8) c) (7)/(10) + (2)/(5) Step 1: Find a common denominator. The least common multiple of 10 and 5 is 10. Step 2: Convert (2)/(5) to an equivalent fraction with a denominator of 10. (2)/(5) = (2 × 2)/(5 × 2) = (4)/(10) Step 3: Add the fractions. (7)/(10) + (4)/(10) = (7+4)/(10) = (11)/(10) d) (5)/(7) + (2)/(21) Step 1: Find a common denominator. The least common multiple of 7 and 21 is 21. Step 2: Convert (5)/(7) to an equivalent fraction with a denominator of 21. (5)/(7) = (5 × 3)/(7 × 3) = (15)/(21) Step 3: Add the fractions. (15)/(21) + (2)/(21) = (15+2)/(21) = (17)/(21) e) (9)/(12) - (1)/(6) Step 1: Find a common denominator. The least common multiple of 12 and 6 is 12. Step 2: Convert (1)/(6) to an equivalent fraction with a denominator of 12. (1)/(6) = (1 × 2)/(6 × 2) = (2)/(12) Step 3: Subtract the fractions. (9)/(12) - (2)/(12) = (9-2)/(12) = (7)/(12) f) (17)/(24) - (3)/(6) Step 1: Find a common denominator. The least common multiple of 24 and 6 is 24. Step 2: Convert (3)/(6) to an equivalent fraction with a denominator of 24. (3)/(6) = (3 × 4)/(6 × 4) = (12)/(24) Step 3: Subtract the fractions. (17)/(24) - (12)/(24) = (17-12)/(24) = (5)/(24) g) (7)/(8) - (3)/(16) Step 1: Find a common denominator. The least common multiple of 8 and 16 is 16. Step 2: Convert (7)/(8) to an equivalent fraction with a denominator of 16. (7)/(8) = (7 × 2)/(8 × 2) = (14)/(16) Step 3: Subtract the fractions. (14)/(16) - (3)/(16) = (14-3)/(16) = (11)/(16) h) (3)/(4) - (1)/(2) Step 1: Find a common denominator. The least common multiple of 4 and 2 is 4. Step 2: Convert (1)/(2) to an equivalent fraction with a denominator of 4. (1)/(2) = (1 × 2)/(2 × 2) = (2)/(4) Step 3: Subtract the fractions. (3)/(4) - (2)/(4) = (3-2)/(4) = (1)/(4) Additional problem (a) on the right side: (3)/(4) + (1)/(2) Step 1: Find a common denominator. The least common multiple of 4 and 2 is 4. Step 2: Convert (1)/(2) to an equivalent fraction with a denominator of 4. (1)/(2) = (1 × 2)/(2 × 2) = (2)/(4) Step 3: Add the fractions. (3)/(4) + (2)/(4) = (3+2)/(4) = (5)/(4) Drop the next question!