24/49 as Decimal (0.(489795918367346938775510204081632653061224))

Convert 24/49 to decimal: 0.(489795918367346938775510204081632653061224). Steps, method, FAQs, and percentage.

Spot the loop: 24/49 is 0.(489795918367346938775510204081632653061224), roughly 48.98%. Not a bug — a stylish repeat performance in decimal form.

Instant result

Expression
24/49
Decimal (2dp)
0.49
Decimal (parentheses)
0.(489795918367346938775510204081632653061224)
Decimal (ellipsis)
0.489……
Percentage
48.98%
Type
Repeating decimal

Long division calculation process

         0.489795918367346938775510204081632653061224
      --------
    49|24.000
        196
       ----
         440
         392
        ----
          480
          441
         ----
           390
           343
          ----
            470
            441
           ----
             290
             245
            ----
              450
              441
             ----
               90
               49
              ----
                410
                392
               ----
                 180
                 147
                ----
                  330
                  294
                 ----
                   360
                   343
                  ----
                    170
                    147
                   ----
                     230
                     196
                    ----
                      340
                      294
                     ----
                       460
                       441
                      ----
                        190
                        147
                       ----
                         430
                         392
                        ----
                          380
                          343
                         ----
                           370
                           343
                          ----
                            270
                            245
                           ----
                             250
                             245
                            ----
                              50
                              49
                             ----
                               10
                                0
                               ----
                                100
                                 98
                                ----
                                 20
                                  0
                                 ----
                                  200
                                  196
                                 ----
                                   40
                                    0
                                   ----
                                    400
                                    392
                                   ----
                                     80
                                     49
                                    ----
                                      310
                                      294
                                     ----
                                       160
                                       147
                                      ----
                                        130
                                         98
                                        ----
                                         320
                                         294
                                        ----
                                          260
                                          245
                                         ----
                                           150
                                           147
                                          ----
                                            30
                                             0
                                            ----
                                             300
                                             294
                                            ----
                                              60
                                              49
                                             ----
                                               110
                                                98
                                               ----
                                                120
                                                 98
                                                ----
                                                 220
                                                 196
                                                ----
                                                  24
        

How to convert fraction to decimal

  1. Divide numerator by denominator using long division or calculator.
  2. If the remainder repeats, the decimal is repeating; otherwise, it terminates.

Repeating part is marked with parentheses, e.g., 0.(3).

Try in calculator

About Fraction to Decimal Converter

The Fraction to Decimal Converter is a free online math tool that helps students, teachers, and professionals effortlessly convert fractions into decimals. It supports both terminating and repeating decimals and demonstrates long division steps with clear explanations. Use it to verify homework, prepare class materials, or double-check calculations at work — quick, accurate, and pleasantly distraction-free.