Math Question = an aquarium holds 6 and 1/4 gallons of water. the water level dropped to 4/5 of this amount .how much water should be added to fill the aquarium
Above is my son's math question and we can't figure out how to solve it. The possible answers are: 74 and 1/2 / 10 and 3/4 / 8 / 1 and 5/8 / 9 / 3 and 1/6
5/5 - 4/5 = 1/5
(1/5) * (25/4) = 25/20 = 1 5/20 = 1 1/4 gallons
an aquarium holds 6 and 1/4 gallons of water. the water level dropped to 4/5 of this amount .how much water should be added to fill the aquarium
To solve this problem, we need to find the difference between the current water level and the full capacity of the aquarium. Here's how we can proceed:
Step 1: Convert 6 and 1/4 gallons to an improper fraction.
To do this, multiply the whole number (6) by the denominator (4) and add the numerator (1). This gives us (6 * 4 + 1) / 4 = 25/4 gallons.
Step 2: Determine the 4/5 of the aquarium's capacity.
To find 4/5 of 25/4 gallons, multiply 25/4 by 4/5. This can be done by multiplying the numerators (25 * 4) and multiplying the denominators (4 * 5), resulting in 100/20 gallons.
Step 3: Calculate the amount of water needed to fill the aquarium.
To find the difference, subtract 100/20 gallons (current water level) from 25/4 gallons (full capacity). We need to find (25/4) - (100/20).
First, let's find a common denominator for the fractions, which is 20. Multiply the numerator and denominator of (25/4) by 5, and multiply the numerator and denominator of (100/20) by 1. This gives us (25 * 5) / (4 * 5) - (100 * 1) / (20 * 1) = 125/20 - 100/20.
Next, subtract the numerators: (125 - 100) / 20 = 25/20 gallons.
Step 4: Convert the answer to a mixed number or a whole number with a fraction (if necessary).
To convert 25/20 to a mixed number, divide the numerator (25) by the denominator (20). The quotient will be the whole number part, and the remainder will be the numerator of the fraction part.
25 ÷ 20 = 1 remainder 5.
So, the answer is 1 and 5/20 gallons, or simplifying the fraction, it becomes 1 and 1/4 gallons.
Therefore, to fill the aquarium, you need to add 1 and 1/4 gallons of water.
None of the given answer choices match exactly, but the closest option is 1 and 5/8.