Converting 49.525 to a Fraction
Step-by-step explanation of how to convert 49.525 to a fraction

Result

49.525 =
1981
40
Mixed number:
49
21
40

Step 1: Identify the number of decimal places

The decimal 49.525 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

49.525 × 1000 = 49525

Step 3: Write as a fraction

49.525 =

49525
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 49525 and 1000.

GCD(49525, 1000) = 25

Divide both the numerator and denominator by the GCD:

49525
1000

=

49525 ÷ 25
1000 ÷ 25

=

1981
40
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