Answer :

To simplify the expression [tex]\frac{1}{7} \times 49 + \frac{12}{25} \times 25 - 11[/tex], follow these steps:


  1. First, simplify [tex]\frac{1}{7} \times 49[/tex]:


    • To find [tex]\frac{1}{7}[/tex] of 49, divide 49 by 7.

    • [tex]49 \div 7 = 7[/tex].

    • So, [tex]\frac{1}{7} \times 49 = 7[/tex].



  2. Next, simplify [tex]\frac{12}{25} \times 25[/tex]:


    • When you multiply a fraction by its denominator, the result is the numerator.

    • [tex]25[/tex] is the denominator, so [tex]\frac{12}{25} \times 25 = 12[/tex].



  3. Now, combine these results in the expression:


    • Substitute the simplified terms back into the expression: [tex]7 + 12 - 11[/tex].



  4. Perform the addition and subtraction:


    • [tex]7 + 12 = 19[/tex].

    • [tex]19 - 11 = 8[/tex].




The simplified expression results in [tex]8[/tex].