Question

find the product. simplify if possible 5 over 14 times 4a over 25

A. a over 35
B. 2 over 35
C. 2a over 35
D. a over 30

Answer 1

\(\bf \cfrac{5}{14}\times \cfrac{41}{25}\implies \cfrac{5\times 4a}{14\times 25}\)

Answer 2

so is that C @jdoe0001 ?

Answer 3

well. you said you got C, so, is it?

Answer 4

idk, that was for a different question

Answer 5

hm ok... well.. so.. multiply as then simplify

Answer 6

i don't know how :/

Answer 7

well... what would you get, without simplifying just multiplying, for \(\bf \cfrac{5\times 4a}{14\times 25}\quad ?\)

Answer 8

20 over 350

Answer 9

so \(\bf \cfrac{5}{14}\times \cfrac{41}{25}\implies \cfrac{5\times 4a}{14\times 25}\implies \cfrac{20a}{350}\qquad then\)



\(\bf \cfrac{20a}{350}\implies
\cfrac{\cancel{2}\cdot 2\cdot \cancel{5}a}{\cancel{2}\cdot \cancel{5}\cdot 5\cdot 7}\)

Answer 10

ok, so A or D?

Answer 11

\(\bf \cfrac{\cancel{2}\cdot 2\cdot \cancel{5}a}{\cancel{2}\cdot \cancel{5}\cdot 5\cdot 7} \implies ?\)

Answer 12

what's left?

Answer 13

A/35

Answer 14

it is A

Answer 15

notice, we only could cancel out 1 of the "2" above

Answer 16

right

Answer 17

\(\bf \cfrac{\cancel{2}\cdot 2\cdot \cancel{5}a}{\cancel{2}\cdot \cancel{5}\cdot 5\cdot 7} \implies \cfrac{2a}{35}\)

Answer 18

so it was C!!!!

Answer 19

yes, but the idea is to multiply and then simplify, like so