Converting 49.825 to a Fraction
Step-by-step explanation of how to convert 49.825 to a fraction

Result

49.825 =
1993
40
Mixed number:
49
33
40

Step 1: Identify the number of decimal places

The decimal 49.825 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

49.825 × 1000 = 49825

Step 3: Write as a fraction

49.825 =

49825
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 49825 and 1000.

GCD(49825, 1000) = 25

Divide both the numerator and denominator by the GCD:

49825
1000

=

49825 ÷ 25
1000 ÷ 25

=

1993
40
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