How to solve this BODMAS question

May 2016
704
53
earth
Hello,
(45% of 770 + 36% of 550) divide 1.5?

i have done like this
Bracket

0.45*770 + 0.36*550 /1.5
,,,,,,


not reaching to correct option

1. 326
2. 217
3. 363
4. 108
5 none of these
 

Benit13

Math Team
Apr 2014
2,166
739
Glasgow
BODMAS:

Brackets, Of, Division/Multiplication, Addition/Subtraction

So don't forget the bracket... that comes first

\(\displaystyle \frac{(0.45 \times 770 + 0.36 \times 550)}{1.5}\)

Evaluating the bracket first...

\(\displaystyle \frac{(0.45 \times 770 + 0.36 \times 550)}{1.5}\)
\(\displaystyle = \frac{(346.5 + 198 )}{1.5}\)
\(\displaystyle = \frac{544.5}{1.5}\)

Bracket is done. Now you divide to get the final result
 
May 2016
704
53
earth
1596 divide 1344 * 784 divide 1824 * 24 divide 42

how to whiteout calculator and what is the use of using decimal number(floating point) in calculation in real it is 1 2 3 4........
 

Benit13

Math Team
Apr 2014
2,166
739
Glasgow
1596 divide 1344 * 784 divide 1824 * 24 divide 42

how to whiteout calculator and what is the use of using decimal number(floating point) in calculation in real it is 1 2 3 4........
Just for the record, I would make a new thread if you have a different question...

... the above can be written as

\(\displaystyle \frac{1596}{1344} \times \frac{784}{1824} \times \frac{24}{42}\)

Do you know about cancelling? You divide the top and bottom numbers by the same quantity, so, for example, 6 goes into 24 four times and into 42 seven times, so

\(\displaystyle \frac{1596}{1344} \times \frac{784}{1824} \times \frac{^{4}\cancel{24}}{^{7}\cancel{42}}\)

The same can be done with the other numbers too. So, for example, 2 goes into 1596 seven hundred and ninety eight times and into 1824 nine hundred and twelve times, so

\(\displaystyle \frac{^{798}\cancel{1596}}{1344} \times \frac{784}{^{912}\cancel{1824}} \times \frac{^{4}\cancel{24}}{^{7}\cancel{42}}\)

so keep going until the numbers are really small and then work out the final result after you've finished cancelling :)