Converting 7.4644 to a Fraction
Step-by-step explanation of how to convert 7.4644 to a fraction

Result

7.4644 =
18661
2500
Mixed number:
7
1161
2500

Step 1: Identify the number of decimal places

The decimal 7.4644 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

7.4644 × 10000 = 74644

Step 3: Write as a fraction

7.4644 =

74644
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 74644 and 10000.

GCD(74644, 10000) = 4

Divide both the numerator and denominator by the GCD:

74644
10000

=

74644 ÷ 4
10000 ÷ 4

=

18661
2500
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