Respuesta :

Find this quotient:0.143 ÷ 0.55
First show the division like this:0.55⌠0.143
Now move the decimal point two places to the right, which makes the divisor a whole number. Also, move the decimal point in the dividend two places to the right:55⌠14.3
Divide and put the decimal point just above the decimal point in the dividend. 55 goes into 14.3 two times with 33 left over:
           .255⌠14.3      -110         33
To continue dividing just add a zero to the right of the decimal point in the dividend. Then bring down the zero, and add it to the end of 33, making it 330
           .255⌠14.30     - 110        330
55 goes into 330 six times. We write a 6 above the zero in the quotient.
           .2655⌠14.30      -110          330         -330              0
To check if your answer is really correct, we multiply the quotient by the divisor and make sure it equals the dividend:        0.55    x    .26         330           + 110      .1430

Answer:

0.26

Step-by-step explanation:

We are asked to divide 0.143 by 0.55.

First of all, we will write our given problem as a division problem as:

[tex]\frac{0.143}{0.55}[/tex]

To divide our given numbers, we will remove decimals.

We can see that numerator has 3 digits after decimal and denominator has two digits after decimal.

We will multiply numerator and denominator by 1000 to remove decimal.

[tex]\frac{0.143\times 1000}{0.55\times 1000}[/tex]

[tex]\frac{143}{550}[/tex]

[tex]\frac{11\times 13}{11\times 50}[/tex]

[tex]\frac{13}{50}[/tex]

[tex]0.26[/tex]

Therefore, our required quotient is 0.26.

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