Question

6 Simplify the following, using the
distributive property of multiplication
over addition and subtraction.
(iv)
5 /11 ×(-9) /13 + 5/11÷ (-4) /13


Please answer fast​

Answer 1

SOLUTION

TO DETERMINE

Simplify the following, using the distributive property of multiplication over addition and subtraction

$\displaystyle \sf{ \frac{5}{11} \times \bigg( - \frac{9}{13} \bigg) + \frac{5}{11} \times \bigg( - \frac{4}{13} \bigg) }$

CONCEPT TO BE IMPLEMENTED

Distributive Property

For three Real Numbers a , b , c

$\sf{a \times (b + c) =( a \times b) + (a \times c)}$

EVALUATION

$\displaystyle \sf{ \frac{5}{11} \times \bigg( - \frac{9}{13} \bigg) + \frac{5}{11} \times \bigg( - \frac{4}{13} \bigg) }$

$\displaystyle \sf{ = \frac{5}{11} \times \bigg( - \frac{9}{13} - \frac{4}{13} \bigg) }$

$\displaystyle \sf{ = \frac{5}{11} \times \frac{ - 9 - 4}{13} }$

$\displaystyle \sf{ = \frac{5}{11} \times \frac{ - 13}{13} }$

$\displaystyle \sf{ = \frac{5}{11} \times - 1}$

$\displaystyle \sf{ = - \frac{5}{11} }$

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