Question

Write the pair of fractions 1/4 and 1/6 as a pair of fractions with a common denominator

Answer 1

Answer: 1/4 = 3/12 , 1/6 = 2/12

Step-by-step explanation:

To find equivalent fractions with a common denominator, we have to calculate the least common multiple of the denominators which is called the Least Common Denominator (LCD).

First we have to list the prime factors of each denominator:

4: 2 x 2

6: 2 x 3

Then we have to multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, we  multiply the factor the greatest number of times it occurs.

2: two occurrences

3: one occurrence

LCM(4,6) = 2 x 2 x 3 = 12 ◄LCD

Now we can find equivalent fractions with this LCD .

For each fraction, we have to determine the number needed to multiply the denominator to get the LCD. Then have to multiply both the numerator and denominator by that number:

LCD = 12

1/4

LCD/4 = 12/4 = 3

1/4 = 3x1/3x4 = 3/12

1/6

LCD/6 = 12/6 = 2

1/6 = 2x1/2x6 = 2/12

Answer: 1/4 = 3/12 , 1/6 = 2/12

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