What is the quotient of each ? a. 3/4  ÷ 340 b. 4/3 ÷ 340 c. 340 ÷ 3/4

Expert Answers
lemjay eNotes educator| Certified Educator

a.   `3/4 -:340 `

To divide them, express the 340 as a fraction.

`=3/4 -:340/1`

Then, flip the second fraction and change the operation from divide to multiply.

`=3/4*1/340`

Since there is no common factor between numerators and denominators, proceed to multiply straight across.

`=3/1360`

Hence,  `3/4 -:340 = 3/1360` .

(For part b and c, the same steps apply.)

b.  `4/3 -:340`

`=4/3 -:340/1`

`=4/3xx1/340`

Here, there is a common factor between numerators and denominators which is 4. Cancelling 4, the fractions become:

`=1/3xx1/85`

`=1/255`

Thus, `4/3 -:340=1/255` .

c. `340 -: 3/4`

`=340/1 -:3/4`

`=340/1xx4/3`

Since there is no common factor between numerators and denominators, proceed to multiply them.

`=1360/3`

Therefore, `340-:3/4 = 1360/3` .

atyourservice | Student

In order to solve these problems you will have to to multiply the first number by the reciprocal 

`a. 3/4 -: 340/1 = 3/4 xx 1/340 =3/1360`

b.`4/3 -: 340 =4/3 xx 1/340 = 4/1020 ` this number can be simplified as they can both be divided by 4  `1/255`

`c. 340 -: 3/4 = 340/1 xx 4/3 = 1360/3 `

` `

johnmkoyan | Student

a. 3/4  ÷ 340 = 3 * 1/4 * 1/340 = 3/1360

b. 4/3 ÷ 340 = 4 * 1/3 * 1/340 = 1/255

c. 340 ÷ 3/4 = 340 * 4 / 3 = 1360/3

rachellopez | Student

It is understood that any whole number can be written over one and still be the same value. If you write 340 over 1, that creates a fraction divided by a fraction. This can be solved by multiplying by the reciprocal (a fraction flipped).

a. 3/4  ÷ 340/1 = 3/4 * 1/340

When you multiply fractions, you can multiply the numerators and denominators straight across.

3/4 * 1/340 = 3/1360

b. 4/3 ÷ 340 = 4/3 ÷ 340/1 = 4/3 * 1/340 = 4/1020 = 1/255

c. 340 ÷ 3/4 = 340/1 ÷ 3/4 = 340/1 * 4/3 = 1360/3