Cooking
- Input
- 7/4
- Expected output
- 1 3/4 (decimal 1.75)
GCD(7,4) = 1, already irreducible; the mixed form is the whole number 1 plus the remainder 3/4.
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mixed number to improper fraction
A mixed number a b/c equals the improper fraction (a×c + b)/c. Enter the numerator and denominator already as the improper fraction (for example 7/4) and the tool returns the mixed form, the GCD and the exact decimal in the same result.
GCD(7,4) = 1, already irreducible; the mixed form is the whole number 1 plus the remainder 3/4.
GCD(16,6) = 2 simplifies to 8/3 before becoming mixed; the decimal 2.[6] repeats because 3 is not a power of 2 or 5.
Numerator smaller than denominator: the tool classifies it as proper and does not generate a mixed number, only GCD and decimal.
Simplifying means dividing both the numerator and denominator by their Greatest Common Divisor (GCD) until no integer greater than 1 divides both. The resulting fraction is equivalent but in its most reduced form.
Proper is when the numerator is smaller than the denominator, like 3/4, and it never becomes a mixed number. Improper is when the numerator is greater than or equal to it, like 7/4, and that is exactly the category the tool converts into the mixed form 1 3/4.
No. The two things are independent: 7/4 is already irreducible (GCD = 1) and still becomes 1 3/4, while 16/6 first simplifies by GCD = 2 into 8/3 before becoming 2 2/3. What decides the mixed form is only being improper, not being reducible.
Because multiplying or dividing mixed numbers directly (1 3/4 × 2 2/3) requires converting to the improper form first anyway; the mixed form is only clearer for reading, such as in recipes or measurements, not for algebra.
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