A hobbyist makes jewelry for friends and relatives. Last week the hobbyist used 3/4 ounce of gold and 2 1/6 ounces of silver. Compute the number of ounces that she used during last week.
Group of answer choices
37/12 ounces
2 11/12 ounces
2 5/6 ounces
1 5/12 ounces
To compute the total number of ounces used during last week, we need to add 3/4 ounce of gold and 2 1/6 ounces of silver.
First, we need to convert the mixed number 2 1/6 to an improper fraction:
2 1/6 = (2 * 6 + 1) / 6 = 13/6
Now we can add the fractions:
3/4 + 13/6
To find the least common denominator (LCD) of 4 and 6, we can multiply them together: 4 * 6 = 24
Rewriting the fractions with the LCD as their denominator:
18/24 + 26/24
Adding the numerators:
18 + 26 = 44
Now we have the sum: 44/24
Simplifying the fraction:
44/24 = 11/6
Converting the improper fraction back to a mixed number:
11/6 = 1 5/6
The total number of ounces used during last week is 1 5/6 ounces.
Therefore, the correct answer is 1 5/6 ounces.