Subtract: 40 ¹⁄₂ - 20 ³⁄₄ =

Question

Quizplus · Accepted Answer

Step 1: Convert 40 ¹⁄₂ and 20 ³⁄₄ to improper fractions to make subtraction easier. Use the rule a ^b⁄_c = ac + ^b⁄_c 11ec0fda_98da_b542_a67f_f12365c197d2_NR0004_00 Step 2: Simplify: 11ec0fda_98da_b543_a67f_a3d69a37a763_NR0004_00 Step 3: Find the Least Common Denominator (LCD). There are two ways we can do this: Method 1: Find the first common multiple. List out all multiples of each denominator and find the first common one. Multiples of 2 : 2, 4, … Multiples of 4 : 4, … Therefore, the LCD is 4. Method 2: Prime Factors. List all prime factors of each denominator and find the union of these primes. Prime factors of 2 : 2, Prime factors of 4 : 2, 2 Therefore, the LCD is 2 × 2 = 4. LCD = 4 Step 4: Make the denominators the same as the LCD. 11ec0fda_98da_b544_a67f_f7a569ee9940_NR0004_00 Step 5: Simplify. The denominators are now the same. 11ec0fda_98da_b545_a67f_4522c93801c4_NR0004_00 Step 6: Join the denominators 11ec0fda_98da_b546_a67f_65f41b2fbfdf_NR0004_00 Step 7: Simplify. 11ec0fda_98da_b547_a67f_1576850febf1_NR0004_00 Step 8: Convert ⁷⁹⁄₄ to a mixed number. 11ec0fda_98da_b548_a67f_51740ee34e1d_NR0004_00 Answer: 19 ³⁄₄

Subtract: 40 1⁄2 - 20 3⁄4 =

Subtract: 40 ¹⁄₂ - 20 ³⁄₄ =