Final answer:
The treasure chest is filled with 3/56 more gold coins than silver coins, which is calculated by finding a common denominator and subtracting the fraction representing silver coins from the fraction representing gold coins.
Step-by-step explanation:
To find out how much more of the treasure chest is filled with gold coins than silver coins, we need to calculate the difference between the fractions of the chest filled with each type of coin.
First, we know that the chest is filled with 1/8 silver coins and 5/7 gold coins.
The fractions must add up to a value that is less than or equal to 1, since you cannot fill a chest with more than 100% of its capacity.
To compare the two, we subtract the fraction of silver coins from the fraction of gold coins. Here's a step-by-step calculation:
Convert the fractions to have a common denominator.
Subtract the fraction representing silver coins from the fraction representing gold coins.
Simplify the result, if necessary.
The common denominator for 8 and 7 is 56. Therefore, we convert:
1/8 silver coins to 7/56
5/7 gold coins to 40/56
Now, subtract the silver coin fraction from the gold coin fraction:
40/56 - 7/56 = (40 - 7)/56
= 33/56
Therefore, the treasure chest is filled with 33/56 more gold coins than silver coins.