convert into mix fraction 8.26
Answers
Step-by-step explanation:
8.26 = 413/50 = 813/50 as a fraction
STEP BY STEP SOLUTION
To convert the decimal 8.26 to a fraction follow these steps:
Step 1: Write down the number as a fraction of one:
8.26 = 8.26/1
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,
8.26/1 = (8.26 x 100)/(1 x 100) = 826/100.
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(826,100) = 2. So,
(826÷2)/(100÷2) = 413/50 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 826/100 is also equal to 8 13/50 when expressed as a mixed number.