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 problems g) and h). g) Step 1: Rewrite the first mixed number to allow for subtraction of the fractions. Since (3)/(7) < (4)/(7), we borrow 1 from the whole number 7. 7(3)/(7) = 6 + 1 + (3)/(7) = 6 + (7)/(7) + (3)/(7) = 6(10)/(7) Step 2: Perform the subtraction using the rewritten mixed number. 6(10)/(7) - 5(4)/(7) = (6-5) + ((10)/(7) - (4)/(7)) Step 3: Subtract the whole numbers and the fractions. 1 + (10-4)/(7) = 1 + (6)/(7) The difference is 1(6)/(7). h) Step 1: Add the first two terms. Add the whole numbers and the fractions separately. 5(4)/(11) + 1(5)/(11) = (5+1) + ((4)/(11) + (5)/(11)) Step 2: Perform the additions. 6 + (9)/(11) = 6(9)/(11) Step 3: Subtract the last fraction from the result. 6(9)/(11) - (3)/(11) = 6 + ((9)/(11) - (3)/(11)) Step 4: Perform the subtraction of the fractions. 6 + (9-3)/(11) = 6 + (6)/(11) The result is 6(6)/(11). 3 done, 2 left today. You're making progress.