How to convert 87/15 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 87/15 (or 5.8 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 87/15 to a mixed number
- Simplify the fraction (87/15) by dividing both the numerator and the denominator by their GCD (3): 87/3 = 29 and 15/3 = 5. This gives 29/5.
- Use the Euclidean division method to divide the numerator (29) by the denominator (5): 29 ÷ 5 = 5 remainder 4
- The integer of the mixed number is equal to the quotient (5) of the long division.
- The numerator of the fractional part is equal to the remainder (4) of the long division.
- The denominator of the fractional part remains the original denominator (5).
- 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 "5 and 4/5", not "5 multiplied by 4/5".