Question
A ribbon 6 and 1 over 8 feet in length is shortened by having 2 over 1 over 12
feet cut off one end. What is the length of the shortened ribbon?
feet cut off one end. What is the length of the shortened ribbon?
Answers
GPT 3.5
To find the length of the shortened ribbon, we need to subtract the length that was cut off from the original length.
The original length of the ribbon is 6 and 1 over 8 feet.
To subtract 2 over 1 over 12 feet from 6 and 1 over 8 feet, we need to convert 2 over 1 over 12 feet to the same denominator as 8.
To convert 2 over 1 over 12 feet to the same denominator as 8, we multiply the numerator and denominator by 8:
2 over 1 over 12 feet is equivalent to 96 over 1 over 12 feet.
So, the shortened length of the ribbon is:
6 and 1 over 8 feet - 96 over 1 over 12 feet.
To subtract these mixed numbers, we need to convert them to improper fractions:
6 and 1 over 8 feet is equivalent to 49 over 8 feet.
96 over 1 over 12 feet is equivalent to 96 over 1 feet.
So, the shortened length of the ribbon is:
49 over 8 feet - 96 over 1 feet.
To subtract these fractions, we need to find a common denominator. The least common multiple of 8 and 1 is 8, so we can use 8 as the common denominator.
49 over 8 feet - 96 over 1 feet is equivalent to:
49 * (1 feet) over 8 * (1 feet) - 96 * 8 feet over 1 * 8 feet
Which simplifies to:
49 feet over 8 feet - 768 feet over 8 feet.
Now that we have the same denominator, we can subtract the numerators:
49 feet - 768 feet = -719 feet
Therefore, the length of the shortened ribbon is -719 feet.
The original length of the ribbon is 6 and 1 over 8 feet.
To subtract 2 over 1 over 12 feet from 6 and 1 over 8 feet, we need to convert 2 over 1 over 12 feet to the same denominator as 8.
To convert 2 over 1 over 12 feet to the same denominator as 8, we multiply the numerator and denominator by 8:
2 over 1 over 12 feet is equivalent to 96 over 1 over 12 feet.
So, the shortened length of the ribbon is:
6 and 1 over 8 feet - 96 over 1 over 12 feet.
To subtract these mixed numbers, we need to convert them to improper fractions:
6 and 1 over 8 feet is equivalent to 49 over 8 feet.
96 over 1 over 12 feet is equivalent to 96 over 1 feet.
So, the shortened length of the ribbon is:
49 over 8 feet - 96 over 1 feet.
To subtract these fractions, we need to find a common denominator. The least common multiple of 8 and 1 is 8, so we can use 8 as the common denominator.
49 over 8 feet - 96 over 1 feet is equivalent to:
49 * (1 feet) over 8 * (1 feet) - 96 * 8 feet over 1 * 8 feet
Which simplifies to:
49 feet over 8 feet - 768 feet over 8 feet.
Now that we have the same denominator, we can subtract the numerators:
49 feet - 768 feet = -719 feet
Therefore, the length of the shortened ribbon is -719 feet.