Question

Pls help

Eliana needs 6 and 7/8 yards of wire.
She has 4 and 1/3 yards. How much more
wire does she need?

Answer 1

2 and 13/24

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

Answer 2

she need 2 13/24 yards of wire

Explanation:

4 1/3 and 6 7/8

times the 4 1/3 by 8 for a common denominator of 24.

which gives you 4 8/24

times the 6 7/8 by 3 for denominator of 24.

so 6 21/24 subtract the 21 and 8 for 13, common denominator and then 6 minus 4.

2 13/24 yards