Operation on Fractions
Operation on the Fractions
In the previous chapter, we have studied about the fractions. In this chapter we will study operations on the fractions, like addition, subtraction, multiplication and division on fractions.
Addition of Fractions
Make the denominator of fractions same by multiplying a suitable number of the numerator and denominator of both fractions. The common denominator is the denominator of the resultant fraction and addition of numerators is the numerator of the resultant fraction.
Add \[\frac{12}{16}\] and \[\frac{13}{16}.\]
Solution:
\[\frac{12}{16}\,+\,\frac{13}{16}\,=\,\frac{12+13}{16}\,=\,\frac{25}{16}\]
Add \[\frac{10}{9}\] and \[\frac{9}{10}.\]
Solution:
\[\frac{10}{9}\,=\,\frac{10}{9}\,\times \,\frac{10}{10}\,=\,\frac{100}{90}\]
\[\frac{9}{10}\,=\,\frac{9}{10}\,\times \,\frac{9}{9}\,=\,\frac{81}{90}\]
Therefore, their sum = \[\frac{10}{90}\,+\,\frac{81}{90}\,=\,\frac{100+81}{90}\,=\,\frac{181}{90}\]
Subtraction of Fractions
Make the denominator of each fraction
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