Question

Simplify (-4/3 + 5/7) x 7/9​

Answer 1

Answer:

(-28 + 15/21) × 7/9

-13/21 × 7/9

= -91/189 is the correct answer

Answer 2

Question :

Simplify $\tt \: \large \: ( \frac{ - 4}{3} + \frac{5}{7} ) \times \frac{7}{9}$

So how will we solve it Simply we will first reduce the friction which is between the small brackets and after that will multiply the resultant with $\tt \: \large \frac{7}{9}$

Hope you understand now let's jump directly on the Question.

Solution :

$\tt \: \large \: ( \frac{ - 4}{3} + \frac{5}{7} ) \times \frac{7}{9}$

• The LCM of 3 and 7 will be 21.

$\tt \: \large \:⇒ ( \frac{ - 4 \times 7 + 5 \times 3}{21} ) \times \frac{7}{9}$

Proceeding with simple calculation

$\tt \: \large \:⇒ ( \frac{ - 28 + 15}{21}) \times \frac{7}{9}$

$\tt \: \large \:⇒ ( \frac{ - 13}{21}) \times \frac{7}{9}$

Now, we can remove the brackets

$\tt \: \large \: ⇒ \frac{ - 13}{21} \times \frac{7}{9}$

Reducing the friction

$\tt \: \large \: ⇒ \frac{ - 13}{3 \times 9}$

$\tt \: \large \: ⇒\frac{ - 13}{27}$

We can't reduce it any more

Henceforth,

The Answer is $\tt \color{#c92786} \large \: \frac{ - 13}{27}$

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