Answer:
2 3/4 or 11/4
Explanation:
2.75 = 11/4 = 2 3/4 as a fraction
To convert the decimal 2.75 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
2.75 = 2.75 / 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,
2.75 / 1 = (2.75 x 100)/(1 x 100) = 275/100.
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(275,100) = 25. So,
(275 ÷ 25)/ (100 ÷ 25) = 11/4 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 275 /100
is also equal to 2 3/4 when expressed as a mixed number.
How to Convert a Decimal to a Fraction - Steps
Step 1: Write down the decimal as a fraction of one (decimal/1);
Step 2: If the decimal is not a whole number, multiply both top and bottom by 10 until you get an interger at the numerator.
Step 3: Simplify (or reduce) the fraction if it is not in the simplest form.