Question

What equivalent fractions could you write to add 1/2 and 2/3

Answer 1

To add 1/2 and 2/3, you find equivalent fractions with a common denominator of 6, resulting in 3/6 and 4/6, which can be added to get 7/6 or 1 1/6.

Step-by-step explanation:

When adding fractions like 1/2 and 2/3, we need to find equivalent fractions with a common denominator in order to add them directly. The denominators 2 and 3 can be made common by finding the least common multiple (LCM), which in this case is 6. Thus, we can create equivalent fractions by multiplying the numerator and denominator of each fraction by a number that gives the denominator as 6.

• Multiply the numerator and denominator of 1/2 by 3 to get an equivalent fraction of 3/6.
• Multiply the numerator and denominator of 2/3 by 2 to get an equivalent fraction of 4/6.

Now we can easily add the equivalent fractions 3/6 and 4/6 to get 7/6, which is an improper fraction and also translates to 1 1/6 when converted to a mixed number.

Answer 2

1/2 = 3/6 2/3 = 4/6

The Least Common Multiple (LCM) of the 2 denominators is 6 so, find a way (multiplying) to get the 2 denominators to 6. You multiply 2 by 3 to get 6 and 3 by 2 to get 6, you also need to multiply the numerator by whatever you multiplied the denominator by.