Converting 4.07749 to a Fraction
Step-by-step explanation of how to convert 4.07749 to a fraction

Result

4.07749 =
407749
100000
Mixed number:
4
7749
100000

Step 1: Identify the number of decimal places

The decimal 4.07749 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

4.07749 × 100000 = 407749

Step 3: Write as a fraction

4.07749 =

407749
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 407749 and 100000.

GCD(407749, 100000) = 1

Divide both the numerator and denominator by the GCD:

407749
100000

=

407749 ÷ 1
100000 ÷ 1

=

407749
100000
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