2.75 as a Fraction
Convert the decimal 2.75 to a fraction with step-by-step explanation.
Answer:
2.75 = \frac{11}{4}
Step-by-Step Solution
Step 1
Identify the Decimal
We need to convert 2.75 to a fraction.
This is a terminating decimal.
2.75 = ?
Step 2
Count Decimal Places
The decimal part is '75'
There are 2 digits after the decimal point.
The denominator will be 100
\text{Denominator} = 10^2 = 100
Step 3
Create the Fraction
Remove the decimal point and use the number as the numerator.
Numerator = 275, Denominator = 100
2.75 = \frac{275}{100}
Step 4
Simplify the Fraction
Find the GCF of 275 and 100: 25
Divide both by 25
\frac{275}{100} = \frac{11}{4}
Step 5
Final Answer
The decimal 2.75 as a fraction is 11/4
2.75 = \frac{11}{4}