Question

Find (1/2 × 2/3) + (3/5 × 1/2)+7/5 Using property​

Answer 1

4/5+11/7+(−7/5)+(−2/7)

=4/5+(−7/5)+11/7+(−2/7)

={4+(−7)}/5+{11+(−2)}/7

=(4−7)/5+(11−2)/7

On further calculation, we get,

=−3/5+9/7

Now, taking L.C.M. we get,

=(−21+45)/35

=24/35.

Answer 2

Step-by-step explanation:

Given:-

(1/2 × 2/3) + (3/5 × 1/2)+7/5

To find:-

Find the value of (1/2 × 2/3) + (3/5 × 1/2)+7/5 Using property ?

Solution:-

Given that

(1/2 × 2/3) + (3/5 × 1/2)+7/5

On taking 1/2 in common

=> (1/2) [(2/3)+(3/5)] +(7/5)

By Distributive Property.

LCM of 3 and 5 = 15

=> (1/2) [{(2×5)+(3×3)}/15] +(7/5)

=> (1/2) [ (10+9)/15 ] +(7/5)

=> (1/2) (19/15) + (7/5)

=> [(1×19)/(2×15)] + (7/5)

=> (19/30) + (7/5)

LCM of 30 and 5 = 30

=> [19+(7×6)]/30

=> (19+42)/30

=> 61/30

Answer:-

The value of the given numerical expression is 61/30

Used Property:-

Distributive Property:-

a ,b and c are three rational numbers then a×(b+c) = (a×b)+(a×c) is called Distributive Property under multiplication over addition in rational numbers.