7. Find the representation of 4.18 as
an improper fraction and a mixed
number.

Step-by-step explanation:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are

2

numbers to the right of the decimal point, place the decimal number over

10

2

(

100

)

. Next, add the whole number to the left of the decimal.

4

18

100

Reduce the fractional part of the mixed number.

4

9

50

Convert

4

9

50

to an improper fraction.

Tap for more steps...

209

50

Step-by-step explanation:

To convert the decimal 4.18 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

4.18/ = 4.18/1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,

4.18/1 = (4.18 × 100)/(1 × 100) = 418/100

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(418,100) = 2. So,

(418÷2)/(100÷2) = 209/50

when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 418/100

is also equal to 4 9/50.

when expressed as a mixed number.

none of the option is correct.

step-by-step explanation:

it says to find which expression equals 9^3 sqrt 10 = ?

9^3 sqrt 10 = 729 sqrt 10.

checking option a. 5 sqrt 10 + 4 sqrt 10

5 sqrt 10 + 4 sqrt 10

= 9 sqrt 10.

checking option b. 5^3 sqrt 10 + 4^3 sqrt 10

5^3 sqrt 10 + 4^3 sqrt 10

= 125 sqrt 10 + 64 sqrt 10

= 189 sqrt 10.

checking option c. 5 sqrt 10 + 4^3 sqrt 10

5 sqrt 10 + 4^3 sqrt 10

= 5 sqrt 10 + 64 sqrt 10

= 69 sqrt 10.

checking option d. 5^3 sqrt 10 + 4 sqrt 10

5^3 sqrt 10 + 4 sqrt 10

= 125 sqrt 10 + 4 sqrt 10

= 129 sqrt 10.

hence, none of the option is correct.