.8888 as a Fraction
The decimal number .8888 is a repeating decimal, where the sequence "8" repeats indefinitely. To convert it to a fraction, we need to find the equivalent fraction that represents this decimal value.
Converting .8888 to a Fraction
To convert .8888 to a fraction, we can use the following steps:
Step 1: Write the decimal as a fraction with a denominator of 10
.8888 = 8888/10000
Step 2: Simplify the fraction by dividing both numerator and denominator by their greatest common divisor (GCD)
The GCD of 8888 and 10000 is 8. Divide both numerator and denominator by 8:
8888 ÷ 8 = 1111 10000 ÷ 8 = 1250
So, the simplified fraction is:
.8888 = 1111/1250
Conclusion
Therefore, the decimal number .8888 can be written as a fraction in its simplest form as 1111/1250.
