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Which fraction pair shows the fractions 5/12 and 3/8 expressed with a common denominator

User Mhhabib
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Final answer:

To express the fractions 5/12 and 3/8 with a common denominator, we need to find the LCM of the denominators 12 and 8. The LCM of 12 and 8 is 24. We can convert 5/12 to an equivalent fraction with a denominator of 24 by multiplying both the numerator and denominator by 2. Similarly, we can convert 3/8 to an equivalent fraction with a denominator of 24 by multiplying both the numerator and denominator by 3.

Step-by-step explanation:

To express the fractions 5/12 and 3/8 with a common denominator, we need to find the least common multiple (LCM) of the denominators 12 and 8. The LCM of 12 and 8 is 24. We can convert 5/12 to an equivalent fraction with a denominator of 24 by multiplying both the numerator and denominator by 2. This gives us 10/24. Similarly, we can convert 3/8 to an equivalent fraction with a denominator of 24 by multiplying both the numerator and denominator by 3. This gives us 9/24. Therefore, the fractions 5/12 and 3/8 expressed with a common denominator are 10/24 and 9/24 respectively.

User Bohica
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The fraction pair with each fraction having the same denominator value is (10/24 , 9/24)

Using the parameters given for our Calculation;

  • 5/12 ___(1)
  • 3/8 ____(2)

To express both fractions as a common denominator, we multiply each by values which gives each fraction the same denominator value.

Now we can multiply (1) by 2 and (2) by 3

Now we have ;

5/12 × 2 = 10/24

3/8 × 3 = 9/24

Hence, the fraction pair is (10/24 , 9/24)

User Jack Bracken
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