Converting 6.9725 to a Fraction
Step-by-step explanation of how to convert 6.9725 to a fraction

Result

6.9725 =
2789
400
Mixed number:
6
389
400

Step 1: Identify the number of decimal places

The decimal 6.9725 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

6.9725 × 10000 = 69725

Step 3: Write as a fraction

6.9725 =

69725
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 69725 and 10000.

GCD(69725, 10000) = 25

Divide both the numerator and denominator by the GCD:

69725
10000

=

69725 ÷ 25
10000 ÷ 25

=

2789
400
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