Answer: 2 13/50
Step-by-step explanation:
Step 1. Write down the decimal as a fraction over 1.
2.26/1
Step 2. Multiply both top and bottom by 10 for every number after the decimal point: As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,
2.26/1 = (2.26 x 100)/(1 x 100) = 226/100.
Step 3. Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(226,100) = 2. So,
(226÷2)/(100÷2) = 113/50 when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 226/100 is also equal to 2 13/50 when expressed as a mixed number.
:)
