To solve the expression 22.5 ÷ 5 - (2/7 - 2 3/5), let's break it down step by step:
Step 1: Convert mixed numbers to improper fractions 2 3/5 can be written as (5 * 2 + 3) / 5 = 13/5
Step 2: Perform the subtraction inside the brackets 2/7 - 13/5 is calculated as (2 * 5 - 13 * 7) / (7 * 5) = (10 - 91) / 35 = -81/35
Step 3: Perform the division 22.5 ÷ 5 is calculated as 22.5 / 5 = 4.5
Step 4: Subtract the result of the division from the result of the subtraction 4.5 - (-81/35) is calculated as 4.5 + 81/35
To add these fractions, we need a common denominator: 4.5 * 35/35 = 157.5/35
Now we can add the fractions: 157.5/35 + 81/35 = (157.5 + 81) / 35 = 238.5/35
Step 5: Simplify the fraction (if possible) 238.5/35 can be simplified as 477/70
So the final result of the expression 22.5 ÷ 5 - (2/7 - 2 3/5) is 477/70.
