Converting 49.075 to a Fraction
Step-by-step explanation of how to convert 49.075 to a fraction

Result

49.075 =
1963
40
Mixed number:
49
3
40

Step 1: Identify the number of decimal places

The decimal 49.075 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

49.075 × 1000 = 49075

Step 3: Write as a fraction

49.075 =

49075
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 49075 and 1000.

GCD(49075, 1000) = 25

Divide both the numerator and denominator by the GCD:

49075
1000

=

49075 ÷ 25
1000 ÷ 25

=

1963
40
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