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 to the fraction problems: 1. Add the following fractions. a) Step 1: Add the numerators since the denominators are the same. (1)/(2) + (1)/(2) = (1+1)/(2) Step 2: Simplify the fraction. (2)/(2) = 1 1 b) Step 1: Add the numerators since the denominators are the same. (2)/(5) + (1)/(5) = (2+1)/(5) Step 2: Simplify the fraction. (3)/(5) (3)/(5) c) Step 1: Add the numerators since the denominators are the same. (3)/(8) + (2)/(8) = (3+2)/(8) Step 2: Simplify the fraction. (5)/(8) (5)/(8) d) Step 1: Add the numerators since the denominators are the same. (2)/(7) + (3)/(7) = (2+3)/(7) Step 2: Simplify the fraction. (5)/(7) (5)/(7) e) Step 1: Add the numerators since the denominators are the same. (2)/(9) + (5)/(9) = (2+5)/(9) Step 2: Simplify the fraction. (7)/(9) (7)/(9) f) Step 1: Add the numerators since the denominators are the same. (3)/(10) + (2)/(10) = (3+2)/(10) Step 2: Simplify the fraction. (5)/(10) = (1)/(2) (1)/(2) g) Step 1: Add the numerators since the denominators are the same. (3)/(11) + (5)/(11) + (2)/(11) = (3+5+2)/(11) Step 2: Simplify the fraction. (10)/(11) (10)/(11) h) Step 1: Add the numerators since the denominators are the same. (7)/(12) + (1)/(12) + (3)/(12) = (7+1+3)/(12) Step 2: Simplify the fraction. (11)/(12) (11)/(12) 2. Subtract the following fractions. a) Step 1: Subtract the numerators since the denominators are the same. (3)/(4) - (2)/(4) = (3-2)/(4) Step 2: Simplify the fraction. (1)/(4) (1)/(4) b) Step 1: Subtract the numerators since the denominators are the same. (4)/(5) - (3)/(5) = (4-3)/(5) Step 2: Simplify the fraction. (1)/(5) (1)/(5) c) Step 1: Subtract the numerators since the denominators are the same. (6)/(7) - (4)/(7) = (6-4)/(7) Step 2: Simplify the fraction. (2)/(7) (2)/(7) d) Step 1: Subtract the numerators since the denominators are the same. (7)/(8) - (1)/(8) = (7-1)/(8) Step 2: Simplify the fraction. (6)/(8) = (3)/(4) (3)/(4) e) Step 1: Subtract the numerators since the denominators are the same. (5)/(6) - (4)/(6) = (5-4)/(6) Step 2: Simplify the fraction. (1)/(6) (1)/(6) f) Step 1: Subtract the numerators since the denominators are the same. (10)/(11) - (8)/(11) = (10-8)/(11) Step 2: Simplify the fraction. (2)/(11) (2)/(11) g) Step 1: Subtract the numerators since the denominators are the same. (4)/(9) - (1)/(9) = (4-1)/(9) Step 2: Simplify the fraction. (3)/(9) = (1)/(3) (1)/(3) h) Step 1: Subtract the numerators since the denominators are the same. (7)/(12) - (2)/(12) = (7-2)/(12) Step 2: Simplify the fraction. (5)/(12) (5)/(12) 3. Insert the correct symbol (+ or -). a) Step 1: Determine the operation that makes the equation true. (2)/(5) \_ (1)/(5) = (3)/(5) Since 2+1=3, the symbol is +. + b) Step 1: Determine the operation that makes the equation true. (4)/(9) \_ (2)/(9) = (2)/(9) Since 4-2=2, the symbol is -. c) Step 1: Determine the operation that makes the equation true. (1)/(2) \_ (1)/(2) = 0 Since 1-1=0, the symbol is -. d) Step 1: Determine the operation that makes the equation true. (8)/(13) \_ (5)/(13) = (13)/(13) = 1 Since 8+5=13, the symbol is +. + e) Step 1: Determine the operation that makes the equation true. (7)/(10) \_ (3)/(10) = 1 Since 7+3=10, and (10)/(10)=1, the symbol is +. + 4. What fraction of the pizza is eaten? What fraction is left? a) (This example is done for you in the image) Fraction eaten: (1)/(4) Fraction left: (3)/(4) b) Step 1: Observe the pizza. It is divided into 4 equal parts, and 1 part is missing. Fraction eaten: (1)/(4) Step 2: Calculate the fraction left. 1 - (1)/(4) = (4)/(4) - (1)/(4) = (3)/(4) Fraction left: (3)/(4) c) Step 1: Observe the pizza. It is divided into 2 equal parts, and 1 part is missing. Fraction eaten: (1)/(2) Step 2: Calculate the fraction left. 1 - (1)/(2) = (2)/(2) - (1)/(2) = (1)/(2) Fraction left: (1)/(2) d) Step 1: Observe the pizza. It is divided into 2 equal parts, and 1 part is missing. Fraction eaten: (1)/(2) Step 2: Calculate the fraction left. 1 - (1)/(2) = (2)/(2) - (1)/(2) = (1)/(2) Fraction left: (1)/(2) Last free one today — make it count tomorrow, or type /upgrade for unlimited.