Mixed Numbers and Improper Fractions

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This practice uses audio and visuals to show mixed numbers and improper fractions. You see how mixed numbers join a whole and a fraction. You also see improper fractions where the top number is equal to or larger than the bottom number.

To convert a mixed number into an improper fraction you multiply the whole number by the fraction’s bottom part. Then you add the top number to that total. That sum becomes the new top number. The bottom number stays the same. To turn an improper fraction back into a mixed number divide the top number by the bottom number. The result gives you the whole number. Any leftover becomes the top number of the fraction. You keep the same bottom number.

You will find both forms in algebra geometry and calculus. They help you handle measurements or represent parts of a whole. Switching between those forms makes it easy to plug values into different formulas. Learning this switch speeds up problem solving and gives you more flexibility with numbers.

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