Final answer:
To find out how much water will be used after 4 5/8 days, multiply the amount of water used per day by the number of days. The final answer is 3 9/28 gallons of water used after 4 5/8 days.
Step-by-step explanation:
To find out how much water will be used after 4 5/8 days, we need to multiply the amount of water used per day by the number of days. The fish tank uses 6/7 of a gallon of water every day. To multiply a fraction by a whole number, we multiply the numerator (top) of the fraction by the whole number and keep the denominator (bottom) the same. So, to find the amount of water used after 4 5/8 days, we multiply (6/7) by (37/8).
First, let's change the mixed number 4 5/8 to an improper fraction. We multiply the whole number (4) by the denominator (8) and add the numerator (5) to get the new numerator (37). The denominator remains the same (8). So, 4 5/8 is equal to 37/8.
Now we can multiply the fractions. When multiplying fractions, we simply multiply the numerators together and the denominators together. So, the calculation is (6/7) multiplied by (37/8), which equals (6 * 37) / (7 * 8).
The numerator can be simplified to 222, and the denominator can be simplified to 56. So, the final answer is 222/56, which can be further simplified to 3 18/56 or 3 9/28 gallons of water used after 4 5/8 days.