Mixed Number to Improper Fraction Calculator

A mixed number expresses a quantity as the sum of a whole number and a proper fraction — for example, 3¾ means three whole units plus three-quarters of another unit. An improper fraction expresses the same quantity as a single fraction whose numerator is larger than (or equal to) its denominator — so 3¾ becomes 15/4. Both forms represent exactly the same value; the choice between them depends on context and convention. Converting from a mixed number to an improper fraction is a fundamental skill in arithmetic, and it is the essential first step whenever you need to perform multiplication or division on mixed numbers. The algorithm has three steps: first, multiply the whole-number part by the denominator; second, add the numerator of the fractional part; third, write the total over the original denominator. For 3¾, that is (3×4) + 3 = 15, giving the improper fraction 15/4. This calculator automates all three steps and displays them explicitly so you can follow the working, check your own hand calculations, or teach the method to a student. The denominator of the result is always the same as the denominator of the fractional part of the original mixed number — it never changes during the conversion. Improper fractions are the preferred form in algebraic manipulation because they behave like any other fraction: you multiply numerators together and denominators together, or invert and multiply for division. When the calculation is finished, the result is often converted back to a mixed number for readability — that reverse process (divide numerator by denominator, take the quotient as the whole part and the remainder over the denominator as the fraction part) is the inverse of what this tool does. Negative mixed numbers are handled correctly. A mixed number like −2⅓ is converted as −(2×3 + 1)/3 = −7/3. Equivalently, you can think of the whole-number field as carrying the sign of the entire mixed number: entering −2 for the whole and 1/3 for the fraction gives −7/3. This tool is useful for students working through fraction arithmetic, teachers preparing worked examples, and anyone who needs a quick, reliable conversion without the risk of arithmetic errors. The step-by-step breakdown makes it suitable not just for getting the answer but for understanding and teaching the underlying method.