michelle inherited 5/8 of his father's estate. He sold 2/5 of his share. What part of the entire estate did he sell?
2/5 * 5/8 = 1/4
To find out what part of the entire estate Michelle sold, you need to find the product of the fractions: (5/8) × (2/5).
Here's the step-by-step process to calculate it:
Step 1: Multiply the numerators (top numbers) together: 5 × 2 = 10.
Step 2: Multiply the denominators (bottom numbers) together: 8 × 5 = 40.
Step 3: Simplify the fraction if possible. In this case, it is already in simplest form.
Step 4: Write the fraction as the product of the steps 1 and 2: (10/40).
So, Michelle sold 10/40 of the entire estate.
To determine the part of the entire estate that Michelle sold, we need to multiply the fraction she inherited by the fraction she sold.
Michelle inherited 5/8 of her father's estate, which means she received 5/8 * whole estate.
Next, Michelle sold 2/5 of her inherited share, so the fraction of her inherited share that she sold is 2/5 * (5/8 * whole estate).
To simplify this expression, we multiply the numerators and the denominators separately:
(5/8) * (2/5) * whole estate = (10/40) * whole estate
The fraction (10/40) can be simplified to (1/4).
Therefore, Michelle sold 1/4 of the entire estate.