Converting 6.3775 to a Fraction
Step-by-step explanation of how to convert 6.3775 to a fraction

Result

6.3775 =
2551
400
Mixed number:
6
151
400

Step 1: Identify the number of decimal places

The decimal 6.3775 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

6.3775 × 10000 = 63775

Step 3: Write as a fraction

6.3775 =

63775
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 63775 and 10000.

GCD(63775, 10000) = 25

Divide both the numerator and denominator by the GCD:

63775
10000

=

63775 ÷ 25
10000 ÷ 25

=

2551
400
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