i need to know work out 4/3 x 27, through my calculator i know the answer is 36 but i don't know how to work it out so when it comes to a real exam and if the question is in the non calculator paper (which it will be) i won't know what to do
can somebody please show me how to get to this answer
✔ 最佳答案
4/3 * 27
= (4 * 27) / 3
= (4 * 9 * 3) / 3
because 27 = 3*9
the 1/3 cancels the 3 from the 27, so
= 4 * 9
= 36
The operators are division and multiplication, which are commutative, so it doesn't matter what order they are performed.
4/3 × 27 = (4 × 27) ÷ 3 = 4 × (27 ÷ 3)
(4/3)*27
= 4*(27/3)
= 4*9
= 36 <<<
this could nicely be an fairly dumb question yet a=7 and B=5. it particularly is cuz the respond for watever b is it is going to bring about a nil whilst accelerated by making use of 8 to get the 0 in 2730 as quickly as u discover b juss divide and pass from there
4/3 * 27
= 108/3
= 36 Ans.
You need to go back to basics & forget a calculator. A calculator is useful to speed up the mathematical process, but you need to be able to work things out using a pen & paper, like I had to do at school!
4/3 x 27 is the same as writing 4/3 x 27/1
To multiply fractions is so easy; you just multiply the enumerators (in this case 4 & 27) and multiply the denominators (in this case 3 & 1)
So 4/3 x 27/1 = 108/3 = 36
(To work out 4 x 27 use long multiplication, or the 'grid' method you probably learned in primary school, but in my opinion, that takes longer!) Likewise long division for 108/3, or the 'chunking' method, but again that takes longer! I have had to teach my children (Yrs 11 & 10) long multiplication & long division because they had not been taught at school!)
when you're multiplying a number by a fraction, you can think about it as multiplying by the numerator and dividing by the denominator. so it's like (4*27)/3
now, 4*27 isn't very easy to do in your head, so what i would do is think about it as 4*(27/3) instead. that way you're doing the division first.
so you have:
4*(27/3)
= 4*9
=36
Its easy in this case,
you can either divide 4 by 3 and multiply it with 27 or
you can divide 27 by 3 and multiply it with 4.
But its easier to divide 27 by 3 than dividing 4 by 3.
In some cases, there will be + or - or brackets..
like 2+3*5 or 2*(3+5)
You have to use the BODMAS rule in such cases.
BODMAS is Bracket Open, Divide or Multiply, Addition or Subtraction.
It represents what to do first...like,
in case of 2*(3+5)
you have to open the brackets first,so.. it can be either 2*3+2*5=6+10=16
or it can be 2*8=16
It is wrong to multiply 2 with 3 first and then add 5
like, 2*(3+5) =2*3+5 = 6+5 =11 (its wrong)
so, under BODMAS rule, you have to do the calculation in the corresponding order...
first bracket open, then division or multiplication, then addition or subtraction
The only way I can work this out is if it is 4over3 as a fraction, x by 7.
If that's the case it won't be on a non-calculator paper because 3 doesn't go into 4 without a recurring number :)
Butttt 4/3 is 1.333333•. One third of 27 is 9. 27+9=36 :)
參考: Got an A at maths GCSE :)
4/3 also equals 1.3, so 1.3 x 27
1 x 27 = 27
27/3=9
27+ 9 = 36