Question

Simplify : (6/55 X -22/9) - (26/125 X -10/39)​

Answer 1

$\left(\dfrac{6}{55} \times \dfrac{-22}{9}\right) -\left(\dfrac{26}{125} \times \dfrac{-10}{39}\right) = -\dfrac{16}{75}$

Given:

• $\left(\dfrac{6}{55} \times \dfrac{-22}{9}\right) -\left(\dfrac{26}{125} \times \dfrac{-10}{39}\right)$

To Find:

• Simplify the expression

Solution:

Step 1:

Factorize the numbers in Numerator and denominator

$\left(\dfrac{2\times3}{5\times11} \times \dfrac{-2\times11}{3 \times 3}\right) -\left(\dfrac{2 \times 13}{5 \times 5 \times 5} \times \dfrac{-2 \times 5}{3 \times 13}\right)$

Step 2:

Cancel common factor from numerator and denominator

$\left(\dfrac{2 }{5 } \times \dfrac{-2 }{3 }\right) -\left(\dfrac{2 }{5 \times 5 } \times \dfrac{-2 }{3 }\right)$

Step 3:

Multiply the numbers

$\left( \dfrac{-4 }{15 }\right) -\left( \dfrac{-4 }{75 }\right)$

Step 4:

Remove the parenthesis

$\dfrac{-4 }{15} + \dfrac{4 }{75 }$

Step 5:

Take LCM 75 and simplify

$\dfrac{-20+4 }{75 }\\ \\\dfrac{-16 }{75 }$

$\left(\dfrac{6}{55} \times \dfrac{-22}{9}\right) -\left(\dfrac{26}{125} \times \dfrac{-10}{39}\right) = -\dfrac{16}{75}$

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