How to convert 70/16 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 70/16 (or 4.375 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 70/16 to a mixed number
- Simplify the fraction (70/16) by dividing both the numerator and the denominator by their GCD (2): 70/2 = 35 and 16/2 = 8. This gives 35/8.
- Use the Euclidean division method to divide the numerator (35) by the denominator (8): 35 ÷ 8 = 4 remainder 3
- The integer of the mixed number is equal to the quotient (4) of the long division.
- The numerator of the fractional part is equal to the remainder (3) 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 "4 and 3/8", not "4 multiplied by 3/8".