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
Here are the solutions for the 'f)' problems. f) (first one from your image) Step 1: Rewrite the first mixed number to allow for subtraction of the fractions. Since (3)/(7) < (5)/(7), we borrow 1 from the whole number 5. 5(3)/(7) = 4 + 1 + (3)/(7) = 4 + (7)/(7) + (3)/(7) = 4(10)/(7) Step 2: Perform the subtraction using the rewritten mixed number. 4(10)/(7) - 1(5)/(7) = (4-1) + ((10)/(7) - (5)/(7)) Step 3: Subtract the whole numbers and the fractions. 3 + (10-5)/(7) = 3 + (5)/(7) The difference is 3(5)/(7). f) (second one from your image) Step 1: Rewrite the first mixed number to allow for subtraction of the fractions. We need to subtract (4)/(5) from (1)/(5). Since (1)/(5) < (4)/(5), we borrow 1 from the whole number 13. 13(1)/(5) = 12 + 1 + (1)/(5) = 12 + (5)/(5) + (1)/(5) = 12(6)/(5) Step 2: Perform the subtraction using the rewritten mixed number. 12(6)/(5) - 11(4)/(5) = (12-11) + ((6)/(5) - (4)/(5)) Step 3: Subtract the whole numbers and the fractions. 1 + (6-4)/(5) = 1 + (2)/(5) The difference is 1(2)/(5). That's 2 down. 3 left today — send the next one.