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.

Finding the Reciprocal

Find the reciprocal of the fraction \(\frac{2}{3}\) and then subtract it from \(\frac{5}{6}\).

Converting to a Decimal

Convert the fraction \(\frac{3}{8}\) to a decimal and then multiply it by the fraction \(\frac{5}{6}\).

Converting to a Mixed Number

Convert the improper fraction \(\frac{23}{5}\) to a mixed number.

Adding Fractions

What is the sum of \(\frac{3}{4}\) and \(\frac{5}{6}\)?

Multiplying Fractions

What is the product of \( \frac{3}{4} \) and \( \frac{2}{5} \)?

Dividing Fractions

What is the result of dividing the fraction \( \frac{3}{4} \) by the fraction \( \frac{5}{6} \) ?

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