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