How to convert 87/57 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 87/57 (or 1.5263157894737 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 87/57 to a mixed number
- Simplify the fraction (87/57) by dividing both the numerator and the denominator by their GCD (3): 87/3 = 29 and 57/3 = 19. This gives 29/19.
- Use the Euclidean division method to divide the numerator (29) by the denominator (19): 29 ÷ 19 = 1 remainder 10
- 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 (10) of the long division.
- The denominator of the fractional part remains the original denominator (19).
- 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 10/19", not "1 multiplied by 10/19".