This is the complete solutions and answers to the Practice Test on Converting Improper Fraction to Mixed Number. As illustrated in the image below, the quotient in the division becomes the whole number in the mixed fraction, the remainder in the division becomes the numerator of the fraction part of mixed fraction, and the denominator from the improper fraction becomes  the denominator of the fractional part of the mixed fraction.

In the solutions below, all answers were also reduced to lowest terms.

Solutions and Answers

1.) 22/7

Solution:

Quotient: 3
Remainder: 1
Denominator: 7

Answer:

2.) 81/6

Solution:

Quotient: 13
Remainder: 3
Denominator: 6

Answer:
Answer in lowest terms:

3.) 55/10

Solution:

Quotient: 5
Remainder: 5
Denominator: 10

Answer:
Answer in lowest terms:

4.) 76/32

Solution:

Quotient: 2
Remainder: 12
Denominator: 32

Answer:
Answer in lowest terms:

5.) 34/16

Solution:

Quotient: 2
Remainder: 2
Denominator: 16

Answer:
Answer in lowest terms:

6.) 89/35

Solution:

Quotient: 2
Remainder: 19
Denominator: 35

Answer:

7.) 114/6

Solution:

Quotient: 19
Remainder: 0
Denominator: 6

Answer: or simply .

8.) 81/33

Solution:

Quotient: 2
Remainder: 15
Denominator: 33

Answer: or .

9.) 76/15

Solution:

Quotient: 5
Remainder: 1
Denominator: 15

Answer:

10.) 19/3

Solution:

Quotient: 6
Remainder: 1
Denominator: 3

Answer:

In the next post, we will be discussing multiplication of fractions.