Fractions are written in the form of $\frac{p}{q}$. The number p which is above the bar, is called "**numerator**" and number q which below the bar, is known as "**denominator**". **For example:** $\frac{18}{71}$, $\frac{4}{5}$, $\frac{20}{7}$ etc.

While subtracting fractions, there may arise following two cases:**Case 1:** **When both the fractions have same denominator.**

Follow the following given steps in this case:**(1):** Write same number in denominator.**(2):** Write both numerator numbers with minus sign between them.**(3):** Subtract numbers in numerator and write the result in numerator.**For Example:** Subtract $\frac{12}{5}$ from $\frac{16}{5}$.**Solution:** $\frac{16}{5}-\frac{12}{5}$

= $\frac{16-12}{5}$

= $\frac{4}{5}$**Case 2:** **When both the fractions have different denominator.**

In this case, following steps should be followed:**(1):** Find the LCM (least common multiple) of both the denominator numbers.**(2):** Write LCM in denominator.**(3):** Divide LCM by denominator number of first fraction and then multiply the result with numerator of that fraction.**(4):** Repeat this process with other number too.**(5):** Write both numbers with a minus sign between them.**(6):** Subtract them and write the result in numerator.

Following figure illustrates subtraction $\frac{1}{3}-\frac{1}{5}$:**Example:** Subtract $\frac{1}{15}$ from $\frac{2}{3}$.**Solution:** $\frac{2}{3}-\frac{1}{15}$

Here LCM of 15 and 3 is 15

= $\frac{10-1}{15}$

= $\frac{9}{15}$

= $\frac{3}{5}$

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