Converting 2.07744 to a Fraction
Step-by-step explanation of how to convert 2.07744 to a fraction

Result

2.07744 =
6492
3125
Mixed number:
2
242
3125

Step 1: Identify the number of decimal places

The decimal 2.07744 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

2.07744 × 100000 = 207744

Step 3: Write as a fraction

2.07744 =

207744
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 207744 and 100000.

GCD(207744, 100000) = 32

Divide both the numerator and denominator by the GCD:

207744
100000

=

207744 ÷ 32
100000 ÷ 32

=

6492
3125
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