# Aptitude - Decimal Fraction - Discussion

### Discussion :: Decimal Fraction - General Questions (Q.No.5)

5.

If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 = ?

 [A]. 0.172 [B]. 1.72 [C]. 17.2 [D]. 172

Explanation:

 29.94 = 299.4 1.45 14.5

 = 2994 x 1 [ Here, Substitute 172 in the place of 2994/14.5 ] 14.5 10

 = 172 10

= 17.2

 Sundar said: (Sep 8, 2011) If 2994/14.5 = 172 then 29.94/1.45 = ? We can write 29.94/1.45 as 2994/145 (by mul with 10 both numerator and denominator). Then, 2994/145 can be written as 2994/(14.5 x 10) or (2994/14.5)x(1/10)------(A) Given that 2994/14.5 = 172. So replace 2994/14.5 with 172 in (A) 172 x (1/10) = 17.2 Hope this will help you. Have a nice day.!

 Suzan said: (Sep 28, 2011) Any short methods ?

 Deepa said: (Dec 4, 2011) Hey this sum is very simple. I will explain you .first 29.94/1.45 is multiplied and divide with 10 then you will get 299.4/14.5 .then again multiply and divide 299.4/14.5 with 10 then very important you are going to multiply only the numerator with 10 because then only you wil get (2994/14.5*1/10).then substitute d value of 2994/14.5=172. The next step is 172/10 then the ans is 17.2, I hope that you can understand

 Teja said: (Feb 16, 2012) 2994/14.5=206.4 and 29.94/1.45=20.48

 Sona said: (Mar 25, 2012) Deepa why you divide and multiply with 10 one by one? why don't you directly divide 29.94 with 100 to make it 2994. Look if it is like this as under then why it is wrong? 2994/14.5*1/100 as 2994/14.5=172 so = 172*1/100 =1.72

 Deepa said: (Apr 29, 2012) @Teja. What you are telling is rite acctualy. But the problem is, if 2994/14. 5=172, according 2 maths subject if means given condition. Using the given conditions only we have to find the solutions.

 Deepa said: (Apr 29, 2012) @Sona you can divide directly but we have no use out of it, you can find the mistakes in the following steps . Look you have made 1 mistake in the 2 step,ie., 2994/14.5 is wrong( you have understood the question wrongly) 2994/1.45 is given in the question.(we want 2994/14.5 so i have multiplied & divided with 10 in the next next step. i wil work for you 29.94/1.45*10/10=299.4/14.5, 299.4/14.5*10/10=(2994/14.5)*1/10(multiplied Nr with 10) 2994/14.5=172.,172*1/10=17.2 hope you can understand.:-

 Kalai said: (May 4, 2012) If 2994/14.5=172 means 2994/ 145=1720 Then 29.94/1.45=1720[assume 2 decimal place] means 17.2

 Poornamsh said: (Sep 18, 2014) Can any one tell the rules of shifting of decimals during division and multiplication? i.e. in case of division total decimals of both terms are added or subtracted?

 Vikas said: (Sep 19, 2014) Hey, my calculator says 2994/14.5 = 206.4827586206897. How you people substitute it with 172? please tell me.

 Pragati said: (Oct 21, 2014) @Vikas. Because its already mentioned in the question that 2994/14.5 = 172. After calculations when we get this value. We substitute it to 172.

 Vijj said: (Dec 4, 2014) @Deepa. Your explanation simple and good.

 Varsha Rani said: (Oct 28, 2015) Hey I can not understand how answer is 17.2?

 Nayana said: (Feb 9, 2016) Hai, here is simple method. 100 should be multiplied with 29.94 to become - 2994. 10 should be multiplied with 1.45 to become - 14.5. Hence (29.94/1.45)*(100/10) = 2994/14.5. We know that 2994/14.5 = 172. So (29.94/1.45)*(100/10) = 172. When we transfer (100/10) to right side it becomes (10/100). So (29.94/1.12) = 172 (10/100). i.e, (29.94/1.12) = 172 (1/10). i.e, (29.94/1.12) = 172/10. i.e, (29.94/1.12) = 17.2.

 Jaspal said: (Feb 16, 2016) Friends I'm unable to understand how 2994/14.5 = 172. My calculator says 2994/14.5 = 206.4827586206897.

 Parul said: (Oct 15, 2016) Why are we multiplying it with 10?

 Shwetha said: (Dec 20, 2016) 2994 ÷ 14.5 = 172. I can't understand how come in 172? Please tell me.

 Chandra Rai said: (Mar 6, 2017) How to do solve it 2994 ÷ 14.5 = 172. 29.94 ÷ 1.45 = ?.

 S.Sasikumar said: (Mar 8, 2017) 2994 ÷ 14.5=206.48 and 29.94 ÷ 1.45 = 20.6 above the four options are not correct. If the answer is 2994 ÷ 14.5 = 172 without any calculation based on the decimal value the answer is 17.2 is correct otherwise, the proper calculation the answer is not correct.

 Disha said: (Jul 24, 2017) Can anyone explain me this with the clear explanation?

 Ram said: (Oct 10, 2018) @ALL. Here, Only decimals change 14.5 to 1.45. & 172.0 to 17.2. Then 14.5 = 172.0. And similarly 1.45 = 17.2.

 Ajay said: (Dec 3, 2018) 29.94 means 2994 * 10^-2, And 1.45 means 145 * 10^-2, Bt we know 2994/14.5 =172. Converting to that form; 2994 * 10^-2/14.5 * 10^-1. Therefore the 10^-1 frm the denominator is cancelled with the one 10^-1 frm 10^-2 So one 10^-1 left in the numerator. Ie; 2994 * 10^-1/14.5 = 172 * 10^-1 = 17.2.

 Parthipan said: (Mar 24, 2019) Actually, 299.4/14.5=172 -------> (1) 29.94/1.45=x -------> (2) Multiply (2) by 10 299.4/14.5=10x -------> (3). Now divide(1)/(3) We can get x = 17.2 answer.

 Philbert said: (May 21, 2019) I am not understanding this, please anyone explain me in detail.

 Chetan said: (May 29, 2019) Given. 2994/14.5 = 172, Now 29.94/1.45 can be expressed as 2994*10/14.5*100 = >2994/14.5*10. Since 2994/14.5 = 172 then, 172 * 1/10 = 17.2.

 Sally said: (Jan 11, 2020) Why it is multiplying by 1/10?

 Tenzin said: (Feb 3, 2020) 2994/14.5 = 172 ( given). 29.94/1.45 = ?. Now 29.94/1.45 *100/10 = 2994/14.5. 29.94/1.45* 100/10 = 172, 29.94/1.45 = 172 * 10/100, 29.94/1.45 = 17.2.

 Naveen Kumar Reddy said: (Mar 31, 2020) 2994/14.5 * 10/100 = 172* 10/100 (multiply by 10/100 on both sides). 29.94/1.45 = 172*10/100. 29.94/1.45 = 172*1/10. 29.94/1.45 = 17.2.

 Anvesh Nayak said: (Mar 31, 2020) 29.94/1.45*10/10. =299.4/14.5. 299.4/14.5*10/10. =299.4*10/14.5*1/10. 2994/14.5*1/10. But 2994/14.5=172. So, 172*1/10, =172/10, =17.2.