Final answer:
Joslani needs to fill his (1/8) teaspoon measuring tool 5 times to have the (5/8) teaspoon of coloring required for the slime, as calculated by dividing the total amount needed by the measuring tool's capacity and simplifying.
Step-by-step explanation:
To determine how many times Joslani needs to fill his (1/8) teaspoon measuring tool to obtain the (5/8) teaspoon of coloring required for the slime, we need to divide the total amount needed by the amount that each measuring tool provides. This is essentially a division problem where you are dividing fractions.
Step 1: Identify the total amount of coloring needed, which is (5/8) teaspoon.
Step 2: Identify the amount provided by one measure of the tool, which is (1/8) teaspoon.
Step 3: Divide the total amount needed by the measuring tool's capacity. So, it would look like this (5/8) ÷ (1/8).
Step 4: When you divide fractions, you multiply by the reciprocal of the divisor. The reciprocal of (1/8) is 8/1. So the division turns into a multiplication: (5/8) × (8/1).
Step 5: Multiply the numerators together and the denominators together. So, 5 × 8 = 40 and 8 × 1 = 8.
Step 6: Simplify the fraction if possible. In this case, you get 40/8 which simplifies to 5/1 or simply 5.
Therefore, Joslani will need to fill his (1/8) teaspoon measuring tool 5 times to have a total of (5/8) teaspoon of coloring.