Write the fraction as a mixed number. 19/5

Answer: 3 4/5

Step-by-step explanation: Set up the division problem in long division format.

5

5

1

1

9

9

Move the decimal the same amount of places in both numbers until the divisor is a whole number.

5

5

1

1

9

9

Divide

19

19

by

5

5

. Place this digit in the quotient on top of the division symbol.

3

3

5

5

1

1

9

9

Multiply the newest quotient digit

(

3

)

(

3

)

by the divisor

5

5

.

3

3

5

5

1

1

9

9

-

-

1

1

5

5

Subtract

15

15

from

19

19

.

3

3

5

5

1

1

9

9

-

-

1

1

5

5

4

4

The result of division of

19

5

19

5

is

3

3

with a remainder of

4

4

.

3

3

r

r

4

4

Use the long division solution to convert the original fraction

(

19

5

)

(

19

5

)

to a mixed number. The whole number portion of the mixed number will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction

(

3

)

(

3

)

, and the fraction portion of the mixed number will be the remainder of the original fraction division

(

4

)

(

4

)

over the denominator of the original fraction

(

5

)