Grade 7 - Mathematics 6.7 Writing Pure Recurring Decimal into Rational Number Form - II
Remove the decimal point and write the recurring part as the numerator
Write as many nines in the recurring part
Write the fraction in its lowest terms.
Convert 0.56 into a rational number form. Solution:
Let x = 0.56
This means x = 0.565656..........I
There are two digits in the recurring decimal part. Hence multiply both sides by 100.
100x = 56.565656.....II
Subtract I from II, we get
99x = 56
x = 56/99
Directions: Convert the given recurring decimal into rational form. Also write atleast 5 examples of your own.