How to convert 54/48 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 54/48 (or 1.125 in its decimal form), can be rewritten as what we call "mixed numbers", providing a clearer understanding and representation of the value.
Step-by-step conversion of 54/48 to a mixed number
- Simplify the fraction (54/48) by dividing both the numerator and the denominator by their GCD (6): 54/6 = 9 and 48/6 = 8. This gives 9/8.
- Use the Euclidean division method to divide the numerator (9) by the denominator (8): 9 ÷ 8 = 1 remainder 1
- The integer of the mixed number is equal to the quotient (1) of the long division.
- The numerator of the fractional part is equal to the remainder (1) of the long division.
- The denominator of the fractional part remains the original denominator (8).
- Combine these element to form the fractional part:
Thus, the result of converting to a mixed number is:
Please note that it should be read as "1 and 1/8", not "1 multiplied by 1/8".