Question

Simplify : 5.4 * 3.7 / 11.1​

Answer 1

Answer: 1.62

Step-by-step explanation:

According to BODMAS first you have to do the division

3.7/11.1

While dividing decimals you have to note that denominator can't have decimals. So, you have to multiply it to get a whole number.

By multiplying 11.1 by 10 we can get 111

(To easily get the whole number you have to take the decimal point to the end of the number. For that you have to multiply ten ; the number of times the decimal point is moved backwards; In this case to get to the end of the number decimal point is only moved one time. So, $10^{1}$ = 10)

Whatever changes you do to denominator it should be made to numerator too.

So as we have multiplied denominator by 10 we have to multiply numerator by 10 too.

10 x 3.7 = 37

So, now the fraction is 37/111

Now we can divide them

37 can't be divided by 111. So, we place a 0 and a decimal (.) and add a 0 to the end of 37. Now the number is 370.

370 divided by 111 = 3 Remainder 37

So the quotient now the value is 0.3

Next you have to multiply 0.3 with 5.4

While multiplying decimals, you just have to multiply them by considering them as a number first

5.4 x 0.3

54 x 3(consider)

54            

x  3    

162            

Now you have to place the decimal. For that you have to notice, in

5.4 how many numbers are there after decimal point? (Only 4; So 1 number)

0.3 how many numbers are there after decimal point? (Only 3; So 1 number)

So, 1+1 = 2

So you have to place the decimal before two numbers starting from the end point in the answer(162)

So, leaving two digits(2 and 6) we have to place it before the 6 in the tens place.

So, 5.4 x 0.3 is 1.62

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