# Addition mixed to subtraction math quiz

Mixed numbers are numbers that contain both a whole number and a fraction. For example, the mixed number 3 1/2 represents the value 3 + 1/2, or 3.5. When working with mixed numbers, it is important to understand how to add and subtract them.

To add mixed numbers, first add the whole numbers together. Then, add the fractions. If the fractions have the same denominator, this is straightforward. For example, to add the mixed numbers 4 2/5 and 3 1/5, we first add the whole numbers 4 + 3 = 7. Then, we add the fractions 2/5 + 1/5 = 3/5. The result is 7 3/5.

If the fractions have different denominators, we need to find a common denominator before we can add them. For example, to add the mixed numbers 4 1/3 and 3 2/5, we first find a common denominator for the fractions. A common denominator for 3 and 5 is 15, so we convert both fractions to fractions with a denominator of 15. 4 1/3 becomes 4 5/15 and 3 2/5 becomes 3 6/15. Now we can add the fractions 5/15 + 6/15 = 11/15. The result is 7 11/15.

Subtracting mixed numbers is similar to adding them, but with one extra step. First, we subtract the whole numbers and the fractions separately. If the fractions have the same denominator, this is straightforward. For example, to subtract the mixed numbers 4 2/5 from 7 1/5, we first subtract the whole numbers 7 – 4 = 3. Then, we subtract the fractions 1/5 – 2/5 = -1/5. However, the result is negative, which means we need to borrow from the whole number. To do this, we subtract 1 from the whole number and add the denominator (in this case, 5) to the fraction. The result is 2 6/5.

If the fractions have different denominators, we again need to find a common denominator before we can subtract them. For example, to subtract the mixed numbers 4 1/3 from 7 2/5, we first find a common denominator for the fractions. A common denominator for 3 and 5 is 15, so we convert both fractions to fractions with a denominator of 15. 4 1/3 becomes 4 5/15 and 7 2/5 becomes 7 10/15. Now we can subtract the fractions 5/15 – 10/15 = -5/15. However, the result is negative, so we borrow from the whole number as before. The result is 6 10/15.

It is important to practice working with mixed numbers to become comfortable with these concepts. Below is a quiz to test your understanding of adding and subtracting mixed numbers up to 20.

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