Answer:
7/11
Step-by-step explanation:
Let X equal the decimal number
Equation 1:
X=0.63¯¯¯¯¯
With 2 digits in the repeating decimal group,
create a second equation by multiplying
both sides by 102 = 100
Equation 2:
100X=63.63¯¯¯¯¯
Subtract equation (1) from equation (2)
100XX99X===63.63...0.63...63
We get
99X=63
Solve for X
X=6399
Find the Greatest Common Factor (GCF) of 63 and 99, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 9,
63÷999÷9=711
Therefore
X=711
In conclusion,
0.63¯¯¯¯¯=711
used
https://www.calculatorsoup.com/calculators/math/decimal-to-fraction-calculator.php
