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Explain Bot To add the fraction 3/8 and the mixed number 6 3/4, you'll first need to convert the mixed number into an improper fraction.
To convert 6 3/4 into an improper fraction, multiply the whole number (6) by the denominator of the fraction (4), and then add the numerator (3). This gives us (6 * 4) + 3 = 24 + 3 = 27. Therefore, 6 3/4 can be written as the improper fraction 27/4.
Now that we have both fractions expressed with the same denominator, we can add them together.
The denominators are already the same (8 and 4), so we can simply add the numerators: 3 + 27 = 30.
The sum is 30/4. However, it is generally recommended to simplify fractions, if possible. In this case, both the numerator and the denominator can be divided by 2, resulting in 15/2.
Therefore, the sum of 3/8 and 6 3/4 is 15/2.