Question

12/14 - 12/15 fractions

Answer 1

Answer:

We will get the value is $\frac{12}{14} -\frac{12}{15} =\frac{2}{35} .$

Step-by-step explanation:

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

        Given data:-$\frac{12}{14} -\frac{12}{15} .$  

        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.

• Subtract the numerators over the denominators.

        Therefore,

         $\begin{array}{l}\frac{12}{14}-\frac{12}{15} \\\\=\frac{12 \times 15}{14 \times 15}-\frac{12 \times 14}{15 \times 14} \\\\=\frac{180}{210}-\frac{168}{210} \\\\=\frac{180-168}{210} \\\\=\frac{12}{210} \\\\=\frac{2}{35}\end{array}$

Answer 2

Answer:

∴ The value of $\frac{12}{14} -\frac{12}{15}$ is $\frac{2}{35}$.

Step-by-step explanation:

• In context to question asked,
• We have to find the value of $\frac{12}{14} -\frac{12}{15}$.
• To find the value of this given subtraction of fractional numbers, we have to find LCM of denominators $14$ and $15$.
• LCM is the least common factor.
• LCM of $14$ and $15$ = $210$
• Now, equalizing the denominators, we get

      $\frac{12}{14} =\frac{12*15}{14*15} = \frac{180}{210}$

      $\frac{12}{15}=\frac{12*14}{15*14} =\frac{168}{210}$

• Now,

   $\frac{12}{14} -\frac{12}{15} = \frac{180}{210} -\frac{168}{210}$

             $=\frac{180-168}{210}$

             $=\frac{12}{210}$

             = $\frac{4}{70}$   ( ∵ dividing by $3$)  

             = $\frac{2}{35}$   ( ∵ dividing by $2$)    

• ∴ The value of $\frac{12}{14} -\frac{12}{15}$ is $\frac{2}{35}$.