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Answer:2/11

Step-by-step explanation:

A fraction is in simplest form when the top and bottom cannot be any smaller

Firstly start by getting the common factors between 1 and 4 in 1/4 and 11 and 8 in 11/8. The common factor is 1 in 1/4 and 1 in 11/8. 1÷1/4÷1= 1/4. 11÷1/8÷1 = 11/8.

1/4÷ 11/8 =2/11.

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Answer:

The quotient in its lowest terms is 2/9

Step-by-step explanation:

Let's divide 1/4 ÷ 1 1/8, this way:

1/4 ÷ 1 1/8 = 1/4 ÷ 9/8 (Converting 1 1/8 to fraction)

1/4 ÷ 9/8 = 1/4 * 8/9 = 8/36

8/36 = 4/18 (Dividing by 2 the numerator and the denominator)

4/18 = 2/9  (Dividing by 2 the numerator and the denominator)

The quotient in its lowest terms is 2/9

Proof: 1/4 = 0.25 and 1 1/8 = 1.125

0.25 ÷ 1.125 = 0.22222

0.22222 = 2/9

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