Question

verify the following and name the property also 5/9*(-3/2+7/5)=5/9*-3/2+5/9*7/5​

Answer 1

Answer:

To Verify: $\frac{5}{9}\times(\frac{-3}{2}+\frac{7}{5})=\frac{5}{9}\times\frac{-3}{2}+\frac{5}{9}\times\frac{7}{5}$

Consider,

LHS

$=\frac{5}{9}\times(\frac{-3}{2}+\frac{7}{5})$

we make like fraction by making denominator equal to LCM of 2 & 5.

$=\frac{5}{9}\times(\frac{-3\times5}{2\times5}+\frac{7\times2}{5\times2})$

$=\frac{5}{9}\times(\frac{-15}{10}+\frac{14}{10})$

$=\frac{5}{9}\times(\frac{-15+14}{10})$

$=\frac{5}{9}\times\frac{-1}{10}$

$=\frac{1}{9}\times\frac{-1}{2}$

$=\frac{-1}{18}$

RHS

$=\frac{5}{9}\times\frac{-3}{2}+\frac{5}{9}\times\frac{7}{5}$

$=\frac{-15}{18}+\frac{35}{45}$

$=\frac{-5}{6}+\frac{7}{9}$

$=\frac{-5\times3}{6\times3}+\frac{7\times2}{9\times2}$

$=\frac{-15}{18}+\frac{14}{18}$

$=\frac{-15+14}{18}$

$=\frac{-1}{18}$

⇒ LHS = RHS

Hence Verified.

Name of this property is Distributive property of Multiplication over addition.

Answer 2

Answer: please say me to

Step-by-step explanation: