Verified answer

EXPLANATION.

Mixed fraction and convert denominator into same.

[tex]5 \frac{1}{5} + 2\frac{1}{7}[/tex]

As we know that,

We can write expression as,

[tex]\frac{26}{5} + \frac{15}{7}[/tex]

Now we take L.C.M in the expression, we get.

[tex]\frac{(26 \times 7) + (15 \times 5)}{35}[/tex]

[tex]\frac{182 + 75}{35} = \frac{257}{35}[/tex]

MORE INFORMATION.

(1) (x + y)² = x² + y² + 2xy.

(2) (x - y)² = x² + y² - 2xy.

(3) (x² - y²) = (x + y)(x - y).

(4) (x² + y²) = (x + y)² - 2xy.

(5) (x³ + y³) = (x + y)(x² - xy + y²).

(6) (x³ - y³) = (x - y)(x² + xy + y²).

(7) (x + y)³ = x³ + 3x²y + 3xy² + y³.

(8) (x - y)³ = x³ - 3x²y + 3xy² - y³.

Answer:

[tex]5 \frac{1}{5} \times 2 \frac{1}{7} \\ = \frac{26}{5} + \frac{15}{7} \\ \\ = \frac{182 + 75}{35} = \frac{257}{35} [/tex]

Answer is done..

Step-by-step explanation: