Convert the following recurring decimal to a rational number 0,72​

The repeating decimal 0. 72 can be written as a ratio of two integers with numerator 8 and denominator 11 as the numerator and denominator, respectively. As a result, it is a logical number (named after ratio). If a number's decimal representation repeats or terminates, it may be seen to be rational.

Step-by-step explanation:

0.72 equals 8 /11

as a fraction.

How do you turn 0.72 repeating into a fraction?

Detailed

Step 1: To convert 0.72 repeating into a fraction, begin writing this simple equation:  

n = 0.72 (equation 1)  

Step 2: Notice that there are 2 digits in the repeating block (72), so multiply both sides by 1 followed by 2 zeros, i.e., by 100.  

100 × n = 72.72 (equation 2)  

Step 3: Now subtract equation 1 from equation 2 to cancel the repeating block (or repetend) out.  

100 × n = 72.72

 1 × n = 0.72

99 × n = 72  

72 /99

could be the answer, but it still can be put in the simplest form, i.e., reduced.  

To simplify this fraction, divide the numerator and denominator by 9 (the GCF - greatest common factor).  

n = 72

99  = 72 ÷ 9

99 ÷ 9  = 8  11 .

So,   0.72 = 8 /11

as the lowest possible fraction.

(hope this helps can i plz have brainlist :D hehe)

answer: 177/8

step-by-step explanation:

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