A piece of fabric is 5 7/9 yards long. A piece of ribbon is 2 1/2 Long how many more yards of ribbon do you need to have equal length of fabric and ribbon
5 14/18 - 2 9/18 = ?
7/8 - 2/9
To calculate the difference in length between the fabric and the ribbon, you need to subtract the length of the ribbon from the length of the fabric.
Given that the fabric is 5 7/9 yards long and the ribbon is 2 1/2 yards long, we need to convert the mixed numbers into improper fractions first.
Converting 5 7/9 to an improper fraction:
5 x 9 + 7 = 45 + 7 = 52
Hence, 5 7/9 is equivalent to 52/9.
Converting 2 1/2 to an improper fraction:
2 x 2 + 1 = 4 + 1 = 5
Hence, 2 1/2 is equivalent to 5/2.
Now, you can subtract the length of the ribbon from the length of the fabric to find the difference:
52/9 - 5/2
To subtract fractions, you need to have a common denominator. The least common multiple (LCM) of 9 and 2 is 18.
Multiplying the numerator and denominator of 5/2 by 9, we get:
5/2 = 45/18
Now, we can subtract the fractions with the common denominator of 18:
52/9 - 45/18
To subtract fractions with the same denominator, deduct the numerators and write the result over the common denominator:
(52 - 45)/18 = 7/18
Therefore, the difference in length between the fabric and ribbon is 7/18 yards.