Question

find using distributive property:
{7/5×(3/12)} + {7/5×5/12}​

Answer 1

Step-by-step explanation:

please give me some thanks

Answer 2

Solution:

$\bigg(\dfrac{7}{5} \times \dfrac{3}{12} \bigg) + \bigg( \dfrac{7}{5} \times \dfrac{5}{12} \bigg)$

Distributive property for multiplication states that:

(a × b) + (a × c) = a × (b + c)

In the given question:

• a = 7/5
• b = 3/12
• c = 5/12

The given question is of the form:

(a × b) + (a × c).

This can also be written as a × (b + c)

Now, substitute the values of a, b and c.

$\dfrac{7}{5} \times \bigg( \dfrac{5}{12} + \dfrac{3}{12} \bigg)$

Adding the 2 fractions in brackets,

$\dashrightarrow \: \sf{ \dfrac{7}{5} \times \bigg( \dfrac{5 + 3}{12} \bigg)}$

$\dashrightarrow \: \: \sf{ \dfrac{7}{5} \times \dfrac{8}{12} }$

On further simplifying the fractions,

$\dashrightarrow \: \: \sf{ \dfrac{7}{5} \times \dfrac{2}{3} }$

On Multiplying the fractions we get:

$\dashrightarrow \: \: \sf{ \dfrac{14}{15}}$

$\therefore \sf{\bigg(\dfrac{7}{5} \times \dfrac{3}{12} \bigg) + \bigg( \dfrac{7}{5} \times \dfrac{5}{12} \bigg) = \boxed {\dfrac{14}{15} }}$

KNOW MORE:

There are some other useful properties which are given below:

• Associate property:

(a × b) × c = a × (b × c)

• Commutative property:

(a × b) = (b × a)