# Find the equivalent fractions and arrange the fractions in ascending order 5 and 10,3 and 4,2 and 6

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I think the fractions given are 5/10, 3/4, and 2/6.

To get the equivalent fractions of the fractions, we have to find the LCD (least common denominator) of the given fractions.

We will find LCM (least common multiple) of 10, 4, & 6. LCD and LCM are the same, it is just that we will name LCD because we refer to denominators of the fractions.

LCM of;

10 = 10, 20, 30, 40, 50, 60

4 = 4, 8, 12, 16, 20, 24, 28, 32, 40, 44, 48, 52, 56, 60

6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

The LCM or LCD now is 60 because it is common to 10, 4 & 6

We will write now the equivalent fractions.

5/10 = (60 ÷ 10)(5)/60 = 30/60

3/4 = (60 ÷ 4)(3)/60 = 45/60

2/6 = (60 ÷ 6)(2)/60 = 20/60

We will now arrange the fractions in ascending order

2/6, 5/10, 3/4

or

20/60, 30/60.45/60

To get the equivalent fractions of the fractions, we have to find the LCD (least common denominator) of the given fractions.

We will find LCM (least common multiple) of 10, 4, & 6. LCD and LCM are the same, it is just that we will name LCD because we refer to denominators of the fractions.

LCM of;

10 = 10, 20, 30, 40, 50, 60

4 = 4, 8, 12, 16, 20, 24, 28, 32, 40, 44, 48, 52, 56, 60

6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

The LCM or LCD now is 60 because it is common to 10, 4 & 6

We will write now the equivalent fractions.

5/10 = (60 ÷ 10)(5)/60 = 30/60

3/4 = (60 ÷ 4)(3)/60 = 45/60

2/6 = (60 ÷ 6)(2)/60 = 20/60

We will now arrange the fractions in ascending order

2/6, 5/10, 3/4

or

20/60, 30/60.45/60