Converting 5.122 to a Fraction
Step-by-step explanation of how to convert 5.122 to a fraction

Result

5.122 =
2561
500
Mixed number:
5
61
500

Step 1: Identify the number of decimal places

The decimal 5.122 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

5.122 × 1000 = 5122

Step 3: Write as a fraction

5.122 =

5122
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 5122 and 1000.

GCD(5122, 1000) = 2

Divide both the numerator and denominator by the GCD:

5122
1000

=

5122 ÷ 2
1000 ÷ 2

=

2561
500
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