Ask your own question, for FREE!
Mathematics 15 Online
OpenStudy (anonymous):

plz help me

ganeshie8 (ganeshie8):

yes :)

OpenStudy (anonymous):

Estimate 8 and one-third times 2 and four-fifths using any method you like. Then find the actual product. Use your estimate to show that your answer is reasonable. and show me how you did it

ganeshie8 (ganeshie8):

mixed fractions... familiar wid them ?

OpenStudy (anonymous):

can you help me

OpenStudy (anonymous):

?

ganeshie8 (ganeshie8):

sure, lets write the given info in numbers :- 8 and one-third times 2 and four-fifths \(\large 8 \frac{1}{3} \times 2 \frac{4}{5}\)

ganeshie8 (ganeshie8):

lets estimate first, you're multiplying 8 and somthing, with 2 and something, so, the answer must be greater than 16 only.

ganeshie8 (ganeshie8):

can we estimate any bettter ?

OpenStudy (anonymous):

yes?

ganeshie8 (ganeshie8):

good, wat is that ?

OpenStudy (anonymous):

idk?

ganeshie8 (ganeshie8):

on top of 16, see that you're taking 4/5 of 8

ganeshie8 (ganeshie8):

that should give you 6+ so total the answer must be atleast 16+6 = 22

ganeshie8 (ganeshie8):

next, compute the actual product and see how bad/good is our estimation

OpenStudy (anonymous):

is dont know how to do that

OpenStudy (anonymous):

i

OpenStudy (anonymous):

good?

ganeshie8 (ganeshie8):

\(\large 8 \frac{1}{3} \times 2 \frac{4}{5} \)

OpenStudy (anonymous):

can you show it all together now plz

ganeshie8 (ganeshie8):

first convert mixed fraction to simple fraction...

ganeshie8 (ganeshie8):

\(\large 8 \frac{1}{3} \times 2 \frac{4}{5} \) \(\large \frac{25}{3} \times \frac{14}{5} \)

ganeshie8 (ganeshie8):

now you can multiply easily i hope :) btw, did u get how 8 1/3 became 25/3 ?

OpenStudy (anonymous):

can you show it all together plz

ganeshie8 (ganeshie8):

okay see if the below working helps \(\large \large \frac{25}{3} \times \frac{14}{5}\) \(\large \frac{\cancel{25}^{5}}{3} \times \frac{14}{\cancel{5}}\)

ganeshie8 (ganeshie8):

\(\large \large \frac{25}{3} \times \frac{14}{5}\) \(\large \frac{{5}}{3} \times 14\)

ganeshie8 (ganeshie8):

\(\large \frac{70}{3}\) \(23.333\)

OpenStudy (anonymous):

what is that?

ganeshie8 (ganeshie8):

23.333 is your final answer, and wat did u get when u estimate ?

OpenStudy (anonymous):

25

ganeshie8 (ganeshie8):

careful, we got 22 right ?

ganeshie8 (ganeshie8):

so we're off by 1.33 so our estimation is not that bad :)

OpenStudy (anonymous):

24

ganeshie8 (ganeshie8):

wats 24 ?

OpenStudy (anonymous):

Numerator: 25 * 14 = 350 huge Denominator: 3 * 5 = 15\] ANSWER: 350/15 or 23.333 or 23 1/3

OpenStudy (anonymous):

right

OpenStudy (anonymous):

?

ganeshie8 (ganeshie8):

correct !

OpenStudy (anonymous):

ty for help

ganeshie8 (ganeshie8):

looks you nailed it finally :)

ganeshie8 (ganeshie8):

np you're wlcme :)

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!