Add with Unlike Denominators Practice

Complete this assessment to review what you’ve learned. It will not count toward your grade.
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Question
Use the image to answer the question.



An illustration shows 2 bars. The first bar is divided vertically into 4 equal parts, and 3 parts are shaded. The second bar is divided vertically into 6 equal parts, and 5 parts are shaded.
Add the fractions from the picture provided to create a mixed number.

(1 point)
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2 answers

To add fractions with unlike denominators, we need to find a common denominator. In this case, the common denominator is the least common multiple of 4 and 6, which is 12.

To convert the first fraction into twelfths, we need to multiply both the numerator and denominator by 3:
3/4 is equivalent to (3*3)/(4*3) = 9/12.

To convert the second fraction into twelfths, we need to multiply both the numerator and denominator by 2:
5/6 is equivalent to (5*2)/(6*2) = 10/12.

Now we can add the fractions:
9/12 + 10/12 = 19/12.

Since the numerator is greater than the denominator, we have an improper fraction. To convert it into a mixed number, we divide the numerator by the denominator:
19 divided by 12 is 1 with a remainder of 7.

Therefore, the mixed number is 1 7/12.
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