How to convert 88/30 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 88/30 (or 2.9333333333333 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 88/30 to a mixed number
- Simplify the fraction (88/30) by dividing both the numerator and the denominator by their GCD (2): 88/2 = 44 and 30/2 = 15. This gives 44/15.
- Use the Euclidean division method to divide the numerator (44) by the denominator (15): 44 ÷ 15 = 2 remainder 14
- The integer of the mixed number is equal to the quotient (2) of the long division.
- The numerator of the fractional part is equal to the remainder (14) of the long division.
- The denominator of the fractional part remains the original denominator (15).
- 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 "2 and 14/15", not "2 multiplied by 14/15".