Based on the analysis, the pairs that consist of equivalent fractions are:
3/9 and 5/15
How to determine pairs that consist equivalent fractions
To determine which pairs consist of equivalent fractions, simplify the fractions and check if they have the same reduced form.
12/20 and 20/25:
To simplify 12/20, divide both the numerator and denominator by their greatest common divisor, which is 4.
This yields 3/5.
For 20/25, greatest common divisor is 5.
This yields 4/5.
The simplified fractions are not equal, so 12/20 and 20/25 are not equivalent.
5/6 and 6/5:
For 5/6, greatest common divisor is 1.
This yields 5/6.
For 6/5, greatest common divisor, which is 1.
This yields 6/5.
The simplified fractions are not equal, so 5/6 and 6/5 are not equivalent.
6/12 and 3/4:
To simplify 6/12, greatest common divisor is 6.
This yields 1/2.
To simplify 3/4, greatest common divisor is 1.
This yields 3/4.
The simplified fractions are not equal, so 6/12 and 3/4 are not equivalent.
3/9 and 5/15:
To simplify 3/9, greatest common divisor is 3.
This yields 1/3.
To simplify 5/15, greatest common divisor is 5.
This yields 1/3.
The simplified fractions are equal, so 3/9 and 5/15 are equivalent.
Based on the analysis, the pairs that consist of equivalent fractions are:
3/9 and 5/15
which of the following pairs consists of equivalent fractions. 12/20 and 20/25, 5/6 and 6/5, 6/12 and 3/4, 3/9 and 5/15.
which of the following pairs consists of equivalent fractions. 12/20 and 20/25, 5/6 and 6/5, 6/12 and 3/4, 3/9 and 5/15.