Mixed Number to Decimal Converter

A mixed number packs a whole part and a proper fraction; converting is one division. 3½ = 3 + 1/2 = 3 + 0.5 = 3.5. Going the other way, an improper fraction divides with remainder: 7 ÷ 4 = 1 r 3, so 7/4 = 1¾ = 1.75. Decimals convert back by place value — 0.625 reads as 625/1000, which reduces by GCD 125 to 5/8 — and the calculator performs this reduction step visibly. Repeating decimals are detected and reported exactly: 1/3 = 0.333… displays as 0.3̄, and 5/6 = 0.8333… as 0.83̄, with the repetend marked rather than wrongly truncated. Every conversion shows the long-division ladder or the GCD reduction, and outputs come in three forms at once: mixed number, improper fraction, and decimal, so homework formats are covered whichever way the question is asked.

1. 1

   Enter a mixed number or decimal

   Forms like 3½, 7/4, or 0.625 all work

2. 2

   Divide numerator by denominator

   The long-division steps are displayed

3. 3

   Reduce the fraction

   GCD division simplifies 625/1000 to 5/8

4. 4

   Detect repetition

   Repeating decimals are marked exactly, not truncated

• 1

  Mixed to decimal: add the whole part to the fraction’s division

• 2

  Decimal to fraction: place value then reduce by the GCD

• 3

  Denominators of only 2s and 5s always terminate (1/8 = 0.125)

• Reading 1¾ as 1.34 (concatenating) instead of 1.75

• Truncating 1/3 to 0.3 instead of recognizing 0.333…

• Forgetting to reduce 625/1000 to 5/8

• Mixing up 0.5 and 0.05 place values when converting back