Operations with Fractions

The operations in mathematics that involve fractions include addition, subtraction, division, and multiplication. Just as with whole numbers, fractions can be manipulated using these arithmetic operations. However, one must note that for addition and subtraction involving fractions, it is necessary to use common denominators. On the other hand, multiplication and division of fractions are relatively simpler, although the final result often needs to be simplified.

Reducing Fractions

What is the result of the operation \(\frac{4}{6} + \frac{3}{9}\)?
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Finding the Reciprocal

What is the result of \(\frac{2}{3} \div \frac{4}{5}\)?
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Converting to a Decimal

$\frac{5}{15}=$
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Converting to a Mixed Number

Match each improper fraction with its equivalent mixed number or whole number. $\frac{49}{7}$ a. 13 c. $2 \frac{4}{29}$ b. $3 \frac{1}{4}$ d. 7 The answer is choose your answer...
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Adding Fractions

Add. \[ \frac{1}{2}+\frac{1}{6} \]
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Subtracting Fractions

Determine the result of the subtraction operation: $6 \frac{1}{4}-2 \frac{5}{6}$
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Multiplying Fractions

Find the product. \[ \frac{2}{7}\left(-4 \frac{2}{3}\right) \] \[ \frac{2}{7}\left(-4 \frac{2}{3}\right)= \] (Type an integer or a simplified fraction.)
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Dividing Fractions

26. Be Precise A large bag contains $\frac{12}{15}$ pound of granola. How many $\frac{1}{3}$-pound bags can be filled with this amount of granola? How much granola is left over?
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Popular Problems

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