Question

Find the Different
2/3 -2/4
​

Answer 1

• We have to evaluate the above expression by using the given data.

               Given data:- $\frac{2}{3} -\frac{2}{4} .$

               To find:- Value of the given expression.

               Solution:-

• We will take the LCM of the denominators, and make denominators the same.

• We will Convert the given fractions to equivalent fractions with the denominator as the LCM.

• Adding the numerators over the denominators.

       Therefore,

            $\begin{array}{l}\frac{2}{3}-\frac{2}{4} \\\\=\frac{2 \times 4}{3 \times 4}-\frac{2 \times 3}{4 \times 3} \\\\=\frac{8}{12}-\frac{6}{12} \\\\=\frac{8-6}{12} \\\\=\frac{2}{12} \\\\=\frac{2 \div 2}{12 \div 2} \\\\=\frac{1}{6}\end{array}$

    Hence we will get the value is $\frac{1}{6} .$

Answer 2

To find : difference between  given rational numbers .

Given  : $\frac{2}{3} - \frac{2}{4}$

Solution:

• To find the difference between given rational numbers we get need to equalize denominators of both the rational numbers. By taking LCM
• Therefore, LCM = $12$
• Now, multiplying numerators of both rational numbers by same number as multiplied by denominators to make LCM.
• Therefore, we get, $\frac{2}{3}-\frac{2}{4}=\frac{2 \times 4}{12}-\frac{2 \times 3}{12}$

                                                  $= \frac{8}{12} -\frac{6}{12}$

                                                 $= \frac{8-6}{12} \\\\=\frac{2}{12} \\ \\=\frac{1}{6}$

Hence, difference of $\frac{2}{3} - \frac{2}{4}$ is  $\frac{1}{6}$ .