Answer:
2 and 13/24
Step-by-step explanation:
First, figure out what you need: the difference between 6 7/8 and 4 1/3 in this case
Next, set up your equation:
6 7/8 – 4 1/3
To make the subtraction of fractions easier, turn both into improper fractions by multiplying the whole number (e.g. 6) with the denominator (e.g. 8) and then adding the numerator (e.g. 7):
6 7/8 = 55/8
4 1/3 = 13/3
To subtract these, they need to have the same denominator. By finding the lowest common multiple for 3 and 8 (the denominators) we can produce equivalent fractions with the same denominator.
LCM of 3 and 8 = 24
(55/8)*(3/3) = 165/24
(13/3)*(8/8) = 104/24
Rewrite the equation with the equivalent fractions: 165/24 – 104/24
Now subtract the numerators: 165 – 104 = 61, so the answer is 61/24
This can't be reduced further, so we turn it back into a proper fraction (by dividing the numerator by the denominator): 2 13/24
Therefore, Eliana needs 2 and 13/24 more yards of wire