Converting 6.4975 to a Fraction
Step-by-step explanation of how to convert 6.4975 to a fraction

Result

6.4975 =
2599
400
Mixed number:
6
199
400

Step 1: Identify the number of decimal places

The decimal 6.4975 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

6.4975 × 10000 = 64975

Step 3: Write as a fraction

6.4975 =

64975
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 64975 and 10000.

GCD(64975, 10000) = 25

Divide both the numerator and denominator by the GCD:

64975
10000

=

64975 ÷ 25
10000 ÷ 25

=

2599
400
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