Question

Simplify : 5.4 * 3.7 / 11.1 + 0.2*3.5/0.1 + 0.05​

Answer 1

Answer: 8.67

Step-by-step explanation:

According to BODMAS first you have to do all the division s

There are 2 divisions here. (3.7/11.1 and 3.5/0.1)

I hope you already got the answer of 3.7/11.1 from previous question.

3.5/0.1

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 0.1 by 10 we can get 1

(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)

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 3.5 = 35

So, now the fraction is 35/1

Any number divided by 1 is same. SO 35 divided by 1 =35

Next according to BODMAS you have to do Multiplication.

There are 2 multiplications here.(5.4 x quotient of 3.7/11.1 and 0.2 x quotient of 3.5/0.1)

I hope you already got the answer for 5.4 x quotient of 3.7/11.1 from previous question.

Next you have to multiply 35(quotient of 3.5/0.1) with 0.2

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

0.2 x 35

2 x 35(consider)

=70

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

0.2 how many numbers are there after decimal point? (Only 2; So 1 number)

35 how many numbers are there after decimal point? (None; So 0)

So, 1+0 = 1

So you have to place the decimal before two numbers starting from the end point in the answer(70)

So, leaving one digit(0) we have to place it before the 0 in the ones place.

So, 0.2 x 35 is 7.0

NOTE : Always an integer has a decimal point and 0 after it. SO, we can simply write 7.0 as 7

Now you can substitute the values for 5.4 * 3.7 / 11.1 and  0.2*3.5/0.1 with their respective values.

1.62 + 7 + 0.05

While addition of decimals you just have to write the numbers one below another and add them as usual (Only thing you have to take into consideration is you have to write numbers so that the decimal points come directly below the other.

 1 . 6  2

 7 . 0 0

+0 . 0 5

  8 . 6  7

So the final answer is 8.67

If my answer was helpful please mark me as brainliest.