Evaluate x / y?

Question

Evaluate:

x / y when

x = 3 1/2
y = 2 1/4

Answer 1

1. change both to improper fraction
3 1/2 = 7/2 (whole number, 3, multiply by denominator, 2, then add it into the top numerator, 1. So 3*2 = 6. 6+1=7.
2 1/4 = 9/4.
2. now you have a fraction over a fraction.
7/2 / 9/4
you can change the division / into multiplication * by flipping the bottom fraction (division is sometimes called "multiplying by the reciprical")
3. 7/2 * 4/9
4. multiply two fractions, multiply across the top and bottom
7*4 / 2*9 = 28/18
5. reduce. both top and bottom are even, so you can divide out a 2.
28/18 = 14/9 and you are done

Answer 2

It usually helps to convert mixed fractions to improper fractions:

x = 3 1/2 = 7/2
y = 2 1/4 = 9/4

x/y = (7/2)/(9/4) = (7/2)·(4/9) = (7/1)·(2/9) = 14/9

Reconverting to mixed: 1 5/9
As a decimal: 1.555555...

Answer 3

1 5/9

Answer 4

(3 1/2) / (2 1/4)

First write each mixed number as an improper fraction
= (7/2) / (9/4)

When dividing by fractions you mulitply the numerator by the reciprocal of the denominator.
= (7/2)(4/9)

Multiply.
= 28/18

Reduce
= 14/9

Rewrite as a mixed number (if necessary)
= 1 5/9

Answer 5

x = 3 1/2 = 7/2
y = 2 1/4 = 9/4

x/y = (7/2)/(9/4) = (7/2) * (4/9) = 7*4/2*9 = 14/9

Answer 6

1 5/9 of the top of my head

Answer 7

x=3 1/2=7/2
y=2 1/4=9/4
or x/y=(7/2)/(9/4)
or x/y=7*4/2*9=14/9=1.55(app)

Answer 8

for the 1st one you put in the numbers for x and y the numbers -3(-3+0) then you certainly distribute. 9+0 the respond is 9 for the 2nd u put in the numbers for x and y. 2*4 - -2. there's a -- which u can replace to a favorable extensive form. 2*4+2 then you certainly multiply 8+2 then upload 10 the respond is 10

Answer 9

convert to improper fractions:

(7/2) / (9/4)

invert and multiply:

(7/2) * (4/9)

28/18 = 14/9

Answer 10

its 1.555 (its continuous)
you can write it as 1.55(and put a bar on top of the second 5 to say its recurring)