Question

An electrician has a piece of wire that is 4 and 3/8 centimeters long.How many pieces does she have?​

Answer 1

Answer:

2

Step-by-step explanation:

The answer is 2 pieces at 1 2/3 with 1.0416(recurring) left

So it’s dividing 2 fractions.

4 3/8 can be turned into an improper by multiplying the whole number by the denominator (bottom fraction number) then adding the numerator( the top fraction number) then leaving the denominator the same.

eg. 4*8 =32 +3 =35…so it’s 35/8

We can do the same with the other one:

1*3 =3 + 2 =5…so it’s 5/3

so now we have 35/8 divided by 5/3….to do this we keep the first fraction the same, flip the second one upside down and then multiply the top by the top and the bottom by the bottom. So:

35/8 x 3/5 = 105/40 (if we simplify by dividing the top and bottom by 5)

we get 21/8…to turn this back into a mixed number fraction we divide the top by the bottom. The whole number is the whole number, the remainder becomes the numerator and the denominator remains as 8.

So we get 2 5/8……so the answer is 2 pieces at 1 2/3m with 1.0416(recurring)cm left ove