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
To get (8)/(10) from (4)/(5), we used the concept of equivalent fractions. Step 1: We wanted to add (4)/(5) and (5)/(10). To do this, both fractions need to have the same denominator. We found that the least common denominator (LCD) for 5 and 10 is 10. Step 2: We needed to convert (4)/(5) into an equivalent fraction with a denominator of 10. To change the denominator from 5 to 10, we multiply 5 by 2. 5 × 2 = 10 Step 3: To keep the fraction equivalent, whatever we multiply the denominator by, we must also multiply the numerator by the same number. So, we multiply the numerator 4 by 2 as well. 4 × 2 = 8 Step 4: This gives us the equivalent fraction: (4)/(5) = (4 × 2)/(5 × 2) = (8)/(10) This means (4)/(5) is the same value as (8)/(10). 3 done, 2 left today. You're making progress.