To solve this expression, let's break it down step by step:
Step 1: Convert mixed numbers to improper fractions: 24 4/5 can be written as (24 * 5 + 4) / 5 = 124/5 7 2/9 can be written as (7 * 9 + 2) / 9 = 65/9
Step 2: Perform the division operation: 19.5 ÷ 7 2/9 is equivalent to 19.5 ÷ (65/9)
To divide fractions, we invert the second fraction and multiply: 19.5 ÷ (65/9) = 19.5 * (9/65)
Step 3: Solve the multiplication: 19.5 * (9/65) = 292.5 / 65
Step 4: Simplify the fraction (if required): To simplify the fraction, we divide the numerator and denominator by their greatest common divisor, which is 5 in this case:
292.5 ÷ 65 = 4.5
So, 24 4/5 - 19.5 ÷ 7 2/9 is equal to 4.5.
