Question

Find the square root of each of the following fractional numbers correct to 2 decimal places: √1.181818​

Answer 1

Answer:

Step-by-step explanation:

.181818 = 590909

500000

= 190909

500000

as a fraction

To convert the decimal 1.181818 to a fraction, just follow these steps:

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

1.181818 = 1.181818

1

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

As we have 6 numbers after the decimal point, we multiply both numerator and denominator by 1000000. So,

1.181818

1

= (1.181818 × 1000000)

(1 × 1000000)

= 1181818

1000000

.

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(1181818,1000000) = 2. So,

(1181818÷2)

(1000000÷2)

= 590909

500000

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 1181818

1000000

is also equal to 190909

500000

when expressed as a mixed number.