Converting 49.775 to a Fraction
Step-by-step explanation of how to convert 49.775 to a fraction

Result

49.775 =
1991
40
Mixed number:
49
31
40

Step 1: Identify the number of decimal places

The decimal 49.775 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

49.775 × 1000 = 49775

Step 3: Write as a fraction

49.775 =

49775
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 49775 and 1000.

GCD(49775, 1000) = 25

Divide both the numerator and denominator by the GCD:

49775
1000

=

49775 ÷ 25
1000 ÷ 25

=

1991
40
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