Question

What will be the answer if we evaluate it? ​

Answer 1

Answer:

• $\sf \dfrac{16}{45}$

Step-by-step explanation:

$\implies \sf \dfrac{-12}{5} - \dfrac{31}{10} + \dfrac{11}{-15} + \dfrac{-7}{-18}$

$\implies \sf \dfrac{-12}{5} + \dfrac{31}{10} - \dfrac{11}{15} + \dfrac{-7}{-18}$

$\implies \sf \dfrac{-12}{5} + \dfrac{31}{10} - \dfrac{11}{15} + \dfrac{7}{18}$

$\implies \sf \dfrac{-216 + 279 - 66 + 35}{90}$

$\implies \sf \dfrac{32}{90}$

$\implies \sf \dfrac{\cancel{32}}{\cancel{90}}$

$\implies \bf \dfrac{16}{45}$

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★ Some basic things to be remember while solving this type of questions :-

• (-) + (-) = (+)
• (+) + (+) = (+)
• (+) + (-) = (-)
• (-) + (+) = (-)

★ Some concepts which can be used while solving this type of questions :-

• Cross multiplication.
• Reciprocal.
• Algebraic Identities.

★ Some identities which can be used in this type of questions :-

• (a + b)² = a² + 2ab + b²
• (a - b)² = a² - 2ab + b²
• a² - b² = (a + b)(a - b)